Justify whether matrix a is invertible

Question is asking about justification of the given matrix A to be invertible or not.

We know that any matrix will be invertible only if its determinant is NOT 0.

So first we need to find determinant of the matrix using formula:

det(A)=ad-bc

det(A)=(6)(6)-(-9)(-4)

det(A)=36-36

det(A)=0

We got determinant 0 for the given matrix so it can't be invertible.

Hence choice  "C). NO, Because it's determinant is zero." is correct answer.

Find the determinant of the matrix

Use following rule to count the determinant of the 2×2 matrix

Thus,

Since determinant of the matrix is equal to 0, this matrix is not invertible.

correct choice is C

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.