Mathematics: What is the determinant of A={-2 2 -5 {4 -1 -2 } { 1 3 -5

What is the determinant of A={-2 2 -5 {4 -1 -2 }

Ответ:

camballard3848

14.02.2022

Mathematics

A' = -51

Step-by-step explanation:

Given

$A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right]$

Required

Determine the determinant of A (A')

$A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]$

Then,

A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)

So:

The determinant of $A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right]$ is

A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)

A' = -2(5 +6) -2(-20 +2) -5(12 + 1)

A' = -2(11) -2(-18) -5(13)

A' = -22 +36 -65

A' = -51

Hence, the determinant is -51

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Ответ:

noah2o2o

04.04.2023

Mathematics

Emilias inequality, x<6 is correct because the number of hours is less than it equal to 6. Emilias number line is correct. The endpoint is correctly filled in and the number line should be shaded to the left of the endpoint.

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What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5

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