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Question

Matrix A has x rows and x + 5 columns. Matrix B has y rows and 11 - y columns. Both AB and BA exist.Then, the value of x and y is equal to



A

3, 9

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B

8, 3

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C

3, 8

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D

4, 8

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Solution

The correct option is C

3, 8


Since, AB is defined, number of rows in A = number of column in B

x  = 11 - y or x + y = 11  .......... (i)​

Also, BA is defined,

So that number of rows in B = number of columns in A

 x + 5 = y or x - y = -5   .................. (ii)​

From Eqs. (i) and (ii), we find that x = 3, y = 8

Hence, (c) is the correct answer. 


Mathematics

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