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.

v) All antisymmetric matrices (i.e. all A matrices with A^t = A).

(vi) All diagonal arrays.

(vii) All upper triangular matrices.

Step-by-step explanation:

All diagonal arrays.

(vii) All upper triangular matrices.

(viii) All invertible matrices.

(ix) All non-invertible matrices.OR 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) AllAll 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.

(x) All matrices with detA = 1.

13.33%

say 50 oranges, then 100 apples

80 are red, 20 are yellow

total fruit = 150

20chances out of 150 for yellow

20/150 = 13.33%