Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 2383 01 37 0039 0001 Choose the correct answer below. A. The matrix is invertible. The given matrix has 4 pivot positions. B. The matrix is not invertible. If the given matrix is A, the equation Ax = b has no solution for at least one b in R4. C. The matrix is invertible. The given matrix is not row equivalent to the nxn identity matrix. D. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
2 383
0 1 37
0 0 39
0 0 0 1
Choose the correct answer below.
A. The matrix is invertible. The given matrix has 4 pivot positions.
B. The matrix is not invertible. If the given matrix is A, the equation Ax = b has no solution for at least
one b in R4.
C. The matrix is invertible. The given matrix is not row equivalent to the nxn identity matrix.
D. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set.
Transcribed Image Text:Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 2 383 0 1 37 0 0 39 0 0 0 1 Choose the correct answer below. A. The matrix is invertible. The given matrix has 4 pivot positions. B. The matrix is not invertible. If the given matrix is A, the equation Ax = b has no solution for at least one b in R4. C. The matrix is invertible. The given matrix is not row equivalent to the nxn identity matrix. D. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set.
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