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5. Algebra of Matrices
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Q12 of 307 Page 5

If find matrix C such that 5A + 3B + 2C is a null matrix.

5A + 3B + 2C = 0

= +3+2=


= ++=


=


= …… (i)


= …… (ii)


= …… (iii)


= …… (iv)


= from equations (i),(ii),(iii),(iv), we get


=


=


=


=


=


=


Hence, C =


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10

If and find X and Y.

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Find matrix A, if

13

If find matrix X such that 2A + 3X = 5B.

14

If and find the matrix C such that A + B + C is zero matrix.

Questions · 307
5. Algebra of Matrices
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