Consider the matrix A=⎣⎡10021312−4⎦⎤ a) Evaluate detA. b) Is the following set of vectors ⎩⎨⎧⎝⎛100⎠⎞,⎝⎛213⎠⎞
Posted: Wed Jul 13, 2022 5:05 am
Consider the matrix A=⎣⎡10021312−4⎦⎤ a) Evaluate detA. b) Is the following set of vectors ⎩⎨⎧⎝⎛100⎠⎞,⎝⎛213⎠⎞,⎝⎛12−4⎠⎞⎭⎬⎫ linearly dependent? c) Does the set of vectors in b) form a basis for R3 ? Why?