Plus Two Maths Chapter Wise Previous Questions Chapter 3 Matrices are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 3 Matrices.

## Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 3 Matrices

Question 1.

Using elementary row operations, find the inverse of the matrix

**[March -2018] **Answer:

Question 2.

a.Find x and y if

b. Express the matrix as the sum of a symmetric and a skew- symmetric matrices.** [March-2018] **Answer:

a.

2x-y=10 — (1)

3x+y=5 —(2)

(1)+(2) → 5x=15 x=3

2x-y=10 6-y=10 y=6-10=-4

x=3, y=-4

Thus, B is represented as the sum of symmetric and a skew symmetric matrix.

Question 3.

The value of K such that the matrix

is symmetric is

a.0

b. 1

c. -1

d. 2

Answer:

Question 4.

a.If

,then BA=

i.

ii.

iii.

iv.

b. Write as the sum of a symmentric and a skew-symmentric matrix

c. Find the inverse of

**[March-2016] **Answer:

Question 5.** **a. Choose the correct statement related to the matrix

i. A

^{3}= A, B

^{3}≠ B

ii. A

^{3}≠ A,B

^{3}= B

iii. A

^{3}≠ A, B

^{3}= B

iv. A

^{3}≠ A, B

^{3}≠ B

b. If ,Then verify the equation

M

^{2}-10M+11 I

_{2}=0

**[March-2015]**

Answer:

Question 6.

Consider the matrices

,

Find the of a,b,c,d.

Answer:

Question 7.

Let

a. Find AB.

b. Is BA defined? Justify your answer. **[March-2013] **Answer:

(b) BA is not defined.

If the number of columns of A ≠ the number of rows of B

Question 8.

a. If

then (a) .Find A^{2}-5A+7I=0

**[March -2013] **Answer:

Question 9.

(i) If A is a square matrix such that A

^{2}= A, then (I + A)

^{2}– 3A is equal to

(a) A

(b) I-A

(c)I

(d)3A

(ii) Find A

^{2}– 5A + 6I if

**[June-2012]**

Answer:

Question 10. ** **Consider the Matrices

and

a. Find A+B

b. Find (A+B)(A-B)

**[June-2010]**

Answer:

Question 11.

Let

a. Find A^{T }b. If A^{T}.A=6I,find the value of α,β,γ** [June-2010] **Answer:

Question 12.

a. Consider if be 3×3 matrix A whose element are given by a_{ij}-2i-j

b.If

Find AB. **[March -2010] Answer: **

Question 13.

If

i. Find AB.

ii. If (AB) C = [10], then find x.

iii. Using this value of z, prove that (AB) C A (BC).** [Say 2010] **Answer:

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