Question

If the size of the matrix B is 4 × 5, the size of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then the order of the matrix D^T × (BE) is:

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If A and B are two matrix of order m×n & n×p respectively then the order of AB is m×p

TO DETERMINE

If the order of the matrix B is 4 × 5, the order of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then to determine the order of the matrix $D^T × (BE)$

CALCULATION

The order of the matrix B is 4 × 5

The order of the matrix E is 5 × 4

Then The order of the matrix B × E is 4 × 4

Now the order of the matrix D is 4 × 2

So the order of the matrix $D^T \: \: is \: \: \: 2 \times 4$

Hence the order of $D^T × (BE) \: \: \: is \: \: 2 \times 2$