IGNOU BECC 104 SOLVED ASSIGNMENT

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IGNOU BECC 104 SOLVED ASSIGNMENT

~~Rs. 90~~
Rs. 15

IGNOU BECC 104 SOLVED ASSIGNMENT

~~Rs. 90~~
Rs. 15

Last Date of Submission of IGNOU BECC-104 (BA) 2025 Assignment is for January 2025 Session: 30th September, 2025 (for December 2025 Term End Exam).
Semester Wise
January 2025 Session: 30th March, 2025 (for June 2025 Term End Exam).
July 2025 Session: 30th September, 2025 (for December 2025 Term End Exam).

Title Name	IGNOU BECC 104 SOLVED ASSIGNMENT
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BA
Course Name	Bachelor of Arts (Honours)
Subject Code	BECC 104
Subject Name	Mathematical Methods for Economics I
Year	2025
Session
Language	English Medium
Assignment Code	BECC-104/Assignmentt-1//2025
Product Description	Assignment of BA (Bachelor of Arts (Honours)) 2025. Latest BECC 104 2025 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU BECC-104 (BA) 2025 Assignment is for January 2025 Session: 30th September, 2025 (for December 2025 Term End Exam). Semester Wise January 2025 Session: 30th March, 2025 (for June 2025 Term End Exam). July 2025 Session: 30th September, 2025 (for December 2025 Term End Exam).

~~Rs. 90~~
Rs. 15

Questions Included in this Help Book

Ques 1.

Consider the following two matrices

$A=\begin{pmatrix}-1&1&2\\1&-1&-2\\-2&2&4\end{pmatrix}$

$B=\begin{pmatrix}1&0&-1\\-1&1&1\\1&-1&-1\end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

Ques 2.

An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

The price of commodity one is P₁= Rs.3.00, the price of commodity two is P₂=Rs.4.00, the individual's income per period is Rs. 108. Determine the utility maximizing level of X₁ & X₂, and derive the demand curves for the two commodities

Ques 3.

$\text{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point

Ques 4.

Solve the following differential equation

$\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+10y=0,$

given Y(0) = 4

$\frac{dy}{dx}(0)=1$

Ques 5.

$\text{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Ques 6.

Adjugate of a matrix

Ques 7.

Decomposable matrix

Ques 8.

Singular matrix

Ques 9.

Evaluate $\int(7x-2)\sqrt{3x+2}\,dx$

Ques 10.

Explain the concept of maximum value function.

Ques 11.

Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

Ques 12.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 13.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 14.

Consider the following two matrices

$A=\begin{pmatrix}-1&1&2\\1&-1&-2\\-2&2&4\end{pmatrix}$

$B=\begin{pmatrix}1&0&-1\\-1&1&1\\1&-1&-1\end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

Ques 15.

An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

Ques 16.

$\text{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point

Ques 17.

Solve the following differential equation

$\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+10y=0,$

given Y(0) = 4

$\frac{dy}{dx}(0)=1$

Ques 18.

$\text{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Ques 19.

Adjugate of a matrix

Ques 20.

Decomposable matrix

Ques 21.

Singular matrix

Ques 22.

Evaluate $\int(7x-2)\sqrt{3x+2}\,dx$

Ques 23.

Explain the concept of maximum value function.

Ques 24.

Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

Ques 25.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 26.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 27.

Consider the following two matrices

$A=\begin{pmatrix}-1&1&2\\1&-1&-2\\-2&2&4\end{pmatrix}$

$B=\begin{pmatrix}1&0&-1\\-1&1&1\\1&-1&-1\end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

Ques 28.

An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

Ques 29.

$\text{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point

Ques 30.

Solve the following differential equation

$\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+10y=0,$

given Y(0) = 4

$\frac{dy}{dx}(0)=1$

Ques 31.

$\text{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Ques 32.

Adjugate of a matrix

Ques 33.

Decomposable matrix

Ques 34.

Singular matrix

Ques 35.

Evaluate $\int(7x-2)\sqrt{3x+2}\,dx$

Ques 36.

Explain the concept of maximum value function.

Ques 37.

Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

Ques 38.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 39.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 40.

Consider the following two matrices

$A=\begin{pmatrix}-1&1&2\\1&-1&-2\\-2&2&4\end{pmatrix}$

$B=\begin{pmatrix}1&0&-1\\-1&1&1\\1&-1&-1\end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

Ques 41.

An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

Ques 42.

$\text{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point

Ques 43.

Solve the following differential equation

$\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+10y=0,$

given Y(0) = 4

$\frac{dy}{dx}(0)=1$

Ques 44.

$\text{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Ques 45.

Adjugate of a matrix

Ques 46.

Decomposable matrix

Ques 47.

Singular matrix

Ques 48.

Evaluate $\int(7x-2)\sqrt{3x+2}\,dx$

Ques 49.

Explain the concept of maximum value function.

Ques 50.

Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

Ques 51.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 52.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 53.

Consider the following two matrices

$A=\begin{pmatrix}-1&1&2\\1&-1&-2\\-2&2&4\end{pmatrix}$

$B=\begin{pmatrix}1&0&-1\\-1&1&1\\1&-1&-1\end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

Ques 54.

An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

Ques 55.

$\text{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point

Ques 56.

Solve the following differential equation

$\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+10y=0,$

given Y(0) = 4

$\frac{dy}{dx}(0)=1$

Ques 57.

$\text{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Ques 58.

Adjugate of a matrix

Ques 59.

Decomposable matrix

Ques 60.

Singular matrix

Ques 61.

Evaluate $\int(7x-2)\sqrt{3x+2}\,dx$

Ques 62.

Explain the concept of maximum value function.

Ques 63.

Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

Ques 64.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

Ques 65.

Denote by a, b and e the column vectors

$\mathbf{a}=\begin{pmatrix}1\\2\\3\end{pmatrix},\mathbf{b}=\begin{pmatrix}-2\\1\\-3\end{pmatrix},\mathbf{c}=\begin{pmatrix}-2\\-1\\1\end{pmatrix}$

Calculate

$2\mathbf{a}-5\mathbf{b},\quad 2\mathbf{a}-5\mathbf{b}+\mathbf{c},\quad\mathbf{a}\cdot\mathbf{b}$

~~Rs. 90~~
Rs. 15

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Course Name	Bachelor of Arts (Honours)
Course Code	BA
Programm	BACHELOR DEGREE PROGRAMMES Courses
Language	English

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IGNOU BECC 104 SOLVED ASSIGNMENT

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