(12 Which of the following statements is FALSE? (a) Each elementary matrix is invertible. (b) Let 0 denote the zero vector in R. Then both R and (0) are subspace of R. (c) Let A, B, and C be square matrices of the same size. If AB = AC, then B= C. (d) Any set of vectors in R" containing the zero vector 0 is linearly dependent. (e) The matrix A is invertible then det(A) #0
(12 Which of the following statements is FALSE? (a) Each elementary matrix is invertible. (b) Let 0 denote the zero vector in R. Then both R and (0) are subspace of R. (c) Let A, B, and C be square matrices of the same size. If AB = AC, then B= C. (d) Any set of vectors in R" containing the zero vector 0 is linearly dependent. (e) The matrix A is invertible then det(A) #0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(11)
The adjugate of A =
is:
( 日9
(c)
(e) None
(12
Which of the following statements is FALSE?
(a) Each elementary matrix is invertible.
(b) Let 0 denote the zero vector in R³. Then both R' and (0) are subspace of R.
(c) Let A, B, and C be square matrices of the same size. If AB = AC, then B= C.
(d) Any set of vectors in R" containing the zero vector 0 is linearly dependent.
(e) The matrix A is invertible then det(A) #0
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