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Mathematics, 30.10.2020 09:00 susanasalleyp3enwe
45 POINTS FOR THIS ONE, WILL MARK BRAINLIEST FOR FULL CORRECT ANSWER
From the following subsets of M(mxn), say whether they are subspaces.
(i) All matrices with a₁₁ = 0.
(ii) All matrices with a₁₁ = 3.
(iii) All matrices whose first column matches the last column.
(iv) All symmetric matrices (i. e., all A matrices with A^t = A).
(v) All antisymmetric matrices (i. e. all A matrices with A^t = A).
(vi) All diagonal arrays.
(vii) All upper triangular matrices.
(viii) All invertible matrices.
(ix) All non-invertible matrices.
(x) All matrices with detA = 1.
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