Q. 435.0( 1 Vote )

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Answer :

We are given with We need to find the value of k.

Take Left Hand Side (LHS) of the matrix equation. In multiplication of matrices, For c11: dot multiply the matching members of 1st row of first matrix and 1st column of second matrix and then sum up.

(a11 a12)(b11 b21) = a11 × b11 + a12 × b21

Thus,

(1 2)(3 2) = 1 × 3 + 2 × 2

(1 2)(3 2) = 3 + 4

(1 2)(3 2) = 7 For c12: dot multiply the matching members of 1st row of first matrix and 2nd column of second matrix and then sum up.

(a11 a12)(b12 b22) = a �11 × b12 + a12 × b22

Thus,

(1 2)(1 5) = 1 × 1 + 2 × 5

(1 2)(1 5) = 1 + 10

(1 2)(1 5) = 11 Similarly, do the same for other elements.   Since, Substituting the value of LHS, We know by the property of matrices, This implies,

a11 = b11, a12 = b12, a21 = b21 and a22 = b22

Thus,

7 = 7

11 = 11

17 = k

23 = 23

Hence, k = 17.

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