Q. 425.0( 1 Vote )

# Find the matrix A such that Given, As A is multiplied with a matrix of order 3×2 and gives a resultant matrix of order 3×3

For matrix multiplication to be possible A must have 2 rows and as resultant matrix is of 3rd order A must have 3 columns

A is matrix of order 2×3

Let A = where a, b, c, d, e and f are unknown variables. By matrix multiplication we have- By equating the elements of 2 equal matrices we get-

a = 1 ; b = -2 and c = -5

also,

2a – d = -1 d = 2a + 1 = 2 + 1 = 3

d = 3

2b – e = -8 e = 2b + 8 = -4 + 8 = 4

e = 4

Similarly, f = 2c + 10 = 0

A = Rate this question :

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