Compute the determinant of the matrix and state whether an inverse matrix exists. Do not use a calculator.
A) -4, yes
B) -4, no
C) 0, yes
D) 0, no

Name: Compute the determinant of the matrix and state whether an inverse matrix exists. Do not use a calculator. A) -4, yes B) -4, no C) 0, yes D) 0, no
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Question

Compute the determinant of the matrix and state whether an inverse matrix exists. Do not use a calculator. 
A) -4, yes 
B) -4, no 
C) 0, yes 
D) 0, no

Quizplus · Accepted Answer

Since the matrix is not invertible (i.e. no inverse matrix exists) if and only if the determinant is equal to zero, and the determinant of the given matrix is 0, the correct answer is D.

Compute the Determinant of the Matrix and State Whether an Inverse