Find the determinant of the following matrix. [2 3] [1 4]

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Explanation:

For any 2x2 matrix of the form

the determinant is equal to a*d - b*c

We multiply the diagonals and subtract the products.

This determinant formula only works for 2x2 matrices.

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In this case,

So we have a*d - b*c = 2*4 - 3*1 = 8 - 3 = 5

The determinant is 5.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

a

step-by-step explanation:

the answer is a