Can you multiply a 3x2 and 2x2 matrix?

Shirley Conrad

Shirley Conrad

Answered question

2023-03-06

Can you multiply a 3x2 and 2x2 matrix?

Answer & Explanation

gelo1368m6

gelo1368m6

Beginner2023-03-07Added 5 answers

Multiplication of matrix :
Let a matrix of order m×n and another matrix n×q when the number of columns in the first matrix equals the number of rows in the second matrix, the matrix can be multiplied.
Here we have to multiply 3×2 matrix and 2×2 matrix, which is possible and the resultant matrix will be 3×2.
Let us understand with the help of an example.
Let A = [ 0 7 3 6 2 0 ] and B = [ 3 4 0 12 ]
then, AB = [ 0 × 3 + 0 × 7 4 × 0 + 7 × 12 3 × 3 + 6 × 0 4 × 3 + 6 × 12 2 × 3 + ( 2 ) × 0 2 × ( 4 ) + 12 × 0 ] = [ 0 84 9 60 6 8 ]
Therefore, In this way we can multiply the matrix.

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