Answer :

ANSWER

[tex]2 \times 2[/tex]

EXPLANATION

The dimensions of a matrix is of the form:

[tex]Row \times Column[/tex]

The dimensions of the first matrix is

[tex]2 \times 3[/tex]

The dimensions of the second matrix is

[tex]3 \times 2[/tex]

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

[tex](2 \times 3)(3 \times 2) = 2 \times 2[/tex]

Therefore the dimensions of the product is a 2×2 matrix.

imlittlestar

Answer:

The correct answer is second option

2 x 2

Step-by-step explanation:

It is given two matrices. One is (2 x 3) matrix and the second matrix is (3 x 2) matrix.

To find the dimension of matrix

If we multiply two matrices with dimensions px q and q x p then the resultant matrix have diamension p x p

Here the two matrices have dimensions 2x3 and  3x2.

Therefore resultant matrix with dimensions 2 x 2

The correct answer is option 2

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