# RBSE Solutions for Class 12 Maths Chapter 3 Matrix Ex 3.2

## Rajasthan Board RBSE Class 12 Maths Chapter 3 Matrix Ex 3.2

RBSE Solutions For Class 12 Maths Chapter 3 Question 1.

then find A+B and A – B.
Solution:
Given,

RBSE Solution Class 12 Maths Chapter 3 Question 2.
, then find matrix A and B.
Solution:

RBSE Solutions For Class 12 Maths Chapter 3.2 Question 3.
, then find C, where A + 2B + C = 0.
Solution:
Given,
A + 2B + C = O

RBSE 12th Maths Chapter 3 Question 4.

then find 3A2 – 2B.
Solution:
According to question,

RBSE Solutions For Class 12 Maths Chapter 3 Miscellaneous Question 5.
, then show that AB ≠ BA.
Solution:

Hence, AB ≠ BA. Hence Proved.

RBSE Solutions For Class 12 Maths Chapter 3 Question 6.
, then show that: f(A)(B) = f(A + B).
Solution:

Math Class 12 RBSE Solutions Question 7.
, then prove : (AB)T = BTAT
Solution:

From (i) and (iv),(AB)T = BTAT
Hence Proved.

RBSE Solution Class 12 Maths Chapter 3 Question 8.
Prove that

Solution:

= (ax + hy + gz)x + (hx + by + fz)v + (gr + fy + cz)z
= ax2 + hxy + gzx + hxy + by2 + fyz + gzx + fyz + cz2
= ax2 + by2 + cz2 + 2hxy + 2fyz + 2gzx = R.H.S.
Hence Proved.

Ex 3.2 Class 12 Question 9.
and ‘I’ is unit matrix of order 3 x 3, then prove

Solution:
Given,

RBSE Solutions For Class 12 Maths Chapter 3 Question 10.
, where O is zero matrix, then find a.
Solution:

Exercise 3.2 Class 12 Maths Question 11.
, (A + B)2 = A2 + B2, then find a, b.
Solution:
Given.

RBSE Solutions For Class 12 Maths Chapter 3 Question 12.

and I is unit matrix of order 2 x 2, then prove that

Solution:

Class 12 Maths RBSE Solutions Question 13.
, then find K, where A2 = 8A + KI.
Solution:
Let A2 = 8A + KI

Class 12 Maths RBSE Solution Chapter 3 Question 14.
, then find A.
Solution:

Class 12 Maths Chapter 3 Exercise 3.2 Question 15.

Solution: