Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 40 - 5 3 0 - 3 0 6 Choose the correct answer below. A. The matrix is invertible. The given matrix has 2 pivot positions. O B. The matrix is not invertible. If the given matrix is A, the columns of A do not form a linearly independent set. O C. The matrix is invertible. The columns of the given matrix span R. O D. The matrix is not invertible. If the given matrix is A, the equation Ax = 0 has only the trivial solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
4 0
5
-
3 0
-3 0
6
Choose the correct answer below.
A. The matrix is invertible. The given matrix has 2 pivot positions.
O B. The matrix is not invertible. If the given matrix is A, the columns of A do not form a linearly independent set.
OC. The matrix is invertible. The columns of the given matrix span R°.
O D. The matrix is not invertible. If the given matrix is A, the equation Ax = 0 has only the trivial solution.
%3D
Transcribed Image Text:Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 4 0 5 - 3 0 -3 0 6 Choose the correct answer below. A. The matrix is invertible. The given matrix has 2 pivot positions. O B. The matrix is not invertible. If the given matrix is A, the columns of A do not form a linearly independent set. OC. The matrix is invertible. The columns of the given matrix span R°. O D. The matrix is not invertible. If the given matrix is A, the equation Ax = 0 has only the trivial solution. %3D
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