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RBSE Solutions for Class 12 Maths Chapter 3 Matrix Ex 3.2

May 23, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 12 Maths Chapter 3 Matrix Ex 3.2

Question 1.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
then find A+B and A – B.
Solution:
Given,
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

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

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

Question 4.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
then find 3A2 – 2B.
Solution:
According to question,
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 5.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix RBSE Solutions for Class 12 Maths Chapter 3 Matrix , then show that AB ≠ BA.
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Hence, AB ≠ BA. Hence Proved.

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

Question 7.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix , then prove : (AB)T = BTAT
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
From (i) and (iv),(AB)T = BTAT
Hence Proved.

Question 8.
Prove that
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
= (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.

Question 9.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix and ‘I’ is unit matrix of order 3 x 3, then prove
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution:
Given,
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

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

Question 11.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix, (A + B)2 = A2 + B2, then find a, b.
Solution:
Given.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 12.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
and I is unit matrix of order 2 x 2, then prove that
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 13.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix , then find K, where A2 = 8A + KI.
Solution:
Let A2 = 8A + KI
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

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

Question 15.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

RBSE Solutions for Class 12 Maths

 

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