(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

My question involves finding the determinant of a 4x4 matrix, which I know how to do.

The matrix is

0 1 2 3

0 1 2 5

0 3 5 6

0 0 0 0

Since the matrix has zeros in every row and column, its determinant will equal 0.

However, I got to thinking that if I wrote out the matrix in equation form, I'd get

0a + b + 2c + 3d

0a + b + 2c + 5d

0a + 3b + 5c +6d

0 + 0 + 0 + 0

Does the 4x4 matrix equate to the 3x3 matrix

1 2 3

1 2 5

3 5 6 ?

2. Relevant equations

(see above for equations)

3. The attempt at a solution

I'm incline to say no, since the 3x3 matrix would have a determinant, but from the perspective of the equations, I don't see how that are different (at least in terms of the information they convey).

Can anyone explain to me how the two matrices are different? Thanks.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Can a 3x3 matrix equate to a 4x4 matrix?

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