Consider the matrix:

What is its determinant?

Does the determinant depend on the variables? Make a conjecture.

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Respuesta :

jane3455 jane3455 · Answer 1 · 2021-03-13T06:54:06+01:00

Answer:

1. The determinant is 8.

2. The determinant does not depend on the variables in the matrix.

3. When there are zeroes below the main diagonal, the determinant is the product of the diagonal.

Step-by-step explanation:

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-07-26T15:30:47+02:00

The determinant of the given matrix is 8. Therefore, the determinant is not depending on the variables.

We need to find the determinant of the given matrix.

The determinant formula for 3×3 matrix is [tex]D_{3 \times3 }[/tex] =a(ei - fh) - b(di - fg) + c(dh - eg).

Now, a=1, b=x, c=y, d=0, e=2, f=z, g=0, h=0 and i=4.

Thus, Determinant=1(2×4 - z×0) - x(0×4 - z×0) + y(0×0 - 2×0).

=8

The determinant of the given matrix is 8. Therefore, the determinant is not depending on the variables.

To learn more about the matrix visit:

https://brainly.com/question/9967572.

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