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5. Algebra of Matrices
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Q6 of 307 Page 5

Given the matrices

and


Verify that (A + B) + C = A + (B + C).

L.H.S (A+B)+C

= (A+B)=+


=


=


= (A+B)+C =


=


= (A+B)+C


R.H.S A+(B+C)


= (B+C)+


=


=


= A+(B+C)+




Hence, L.H.S=R.H.S


More from this chapter

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4

Let and Compute 2A – 3B + 4C.

5

If A = diag (2, -5, 9), B = diag (1, 1, -4) and C = diag (-6, 3, 4), find

i. A – 2B


ii. B + C – 2A


iii. 2A + 3B – 5C

7

Find matrices X and Y, if X + Y = and

8

Find X, if and

Questions · 307
5. Algebra of Matrices
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