Question

solve the consistency of determinant x+y+2z=4,2x-y+3z=9,3x-y-z=2​

Answer 1

x+y+2z=4

2x-y+3z=9

3x-y-z=2

Answer 2

The consistency of determinant is 17 when the 3 equation are x+y+2z=4,2x-y+3z=9,3x-y-z=2​.

Given that,

We have 3 equations x+y+2z=4,2x-y+3z=9,3x-y-z=2​

We have to find the consistency of determinant.

We know that,

Take the equations

x+y+2z=4,2x-y+3z=9,3x-y-z=2​

From the equation we get the matrix that is

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

What is determinant?

The scalar value calculated for a given square matrix is the determinant of a matrix. The determinant is a concept in linear algebra, and its components are square matrixes.

Determinant means det

det of the matrix is 1(1+3)-1(-2-9)+2(-2+3)

= 1(4)-1(-11)+2(1)

= 4+11+2

= 17

Therefore, The consistency of determinant is 17 when the 3 equation are x+y+2z=4,2x-y+3z=9,3x-y-z=2​.

To learn more about determinant visit:

https://brainly.in/question/7727094

https://brainly.in/question/1392012

#SPJ2