Matrices

Question

Q1)

 

Q2)

 

 

Q3)

 

Answer 1

 

Q1) 

a) The matrix is

 

b) The matrix

Answer 2

Q2) a) The matrix

Matrix multiplication

• If the number of columns in the first matrix is equal to the number of rows in second matrix then the multiplication is possible.
• Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.
• Add the products.

.

Answer 3

Q2)

b)  The matrix 

• Find cofactor matrix for A.

Answer 4

Q2) c) The system of equations are 1x + 2y - 2z = - 26

2x + y + 2z = 59

- 2x + 2y + z = 1

Write the equations in to matrix form.

AX = B

A is coefficient matrix, X is varable matrix and B is constant matrix.

From above solution

Answer 5

Q3)

a) AX = B

A is coefficient matrix, X is varable matrix and B is constant matrix.

.

 

b)

From above solution (a)