Q. 375.0( 1 Vote )

# If matrix <

Answer :

We are given that, We need to compute AAT.

We know that the transpose of a matrix is a new matrix whose rows are the columns of the original.

So, transpose of matrix A will be given as Multiplying A by AT, In multiplication of matrices, Dot multiply the matching members of 1st row of first matrix and 1st column of second matrix and then sum up.

(a11 a12 a13)(b11 b21 b31) = a11 × b11 + a12 × b21 + a13 × b31

So,

(1 2 3)(1 2 3) = 1 × 1 + 2 × 2 + 3 × 3

(1 2 3)(1 2 3) = 1 + 4 + 9

(1 2 3)(1 2 3) = 14

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