Consider the matrix A=⎣⎡10021312−4⎦⎤ a) Evaluate detA. b) Is the following set of vectors ⎩⎨⎧⎝⎛100⎠⎞,⎝⎛213⎠⎞
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Consider the matrix A=⎣⎡10021312−4⎦⎤ a) Evaluate detA. b) Is the following set of vectors ⎩⎨⎧⎝⎛100⎠⎞,⎝⎛213⎠⎞
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?
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