test paper matrices and determinants

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TEST PAPER– 2011 Class – XII Subject – Mathematics (1 Mark Question) 1. Find the adjoint of each of the matrix 2. This matrix have no inverse find the value of x. 3. If the matrix have Find the value of . 4. If the matrix have Find the value of. 5. Find the minor and cofactor of this matrix 6. Find the inverse of this matrix (4 Mark Question) 7. For the matrix find the numbers a and b such that . Hence find . (6 Mark Question) 8. If . Find .Using , Solve the following system of linear equation. 9. Determine the product of two matrices A and B where

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Page 1: Test Paper Matrices and Determinants

TEST PAPER– 2011Class – XII

Subject – Mathematics

(1 Mark Question)

1. Find the adjoint of each of the matrix

2. This matrix have no inverse find the value of x.

3. If the matrix have Find the value of .

4. If the matrix have Find the value of.

5. Find the minor and cofactor of this matrix

6. Find the inverse of this matrix

(4 Mark Question)

7. For the matrix find the numbers a and b such that . Hence find . (6 Mark Question)

8. If . Find .Using , Solve the following system of linear equation.

9. Determine the product of two matrices A and B where

A =

and B =

and use it to solve the system of equations: or

. Using Matrices solve the following linear equation

Page 2: Test Paper Matrices and Determinants