NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Ch. 15 part 1a How can a matrix be used to solve a system of equations. Demonstrate by solving the following system. Show your work. ​

We are given the equations:

x - 3y = 2

3x - 4y = 0

writing the system as matrices

=

which is in the form:

AX = B

solving for X(the matrix holding the variables), we get:

X = (A⁻¹)B

Finding A⁻¹:

now, to do this, we need to find the inverse of A

using this formula to find the inverse of matrix A:

Matrix X:

We know that:

X = A⁻¹B

since matrix X is just a matrix with the variables

x = -8/5

y = -6/5

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