the Multiple choice questions is here: a. empty or non-empty b. closed or not closed c. closed or not closed

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the Multiple choice questions is here:
a. empty or non-empty
b. closed or not closed
c. closed or not closed

The Multiple Choice Questions Is Here A Empty Or Non Empty B Closed Or Not Closed C Closed Or Not Closed 1 (37.88 KiB) Viewed 25 times

(2 points) A square matrix A is idempotent if A² = A. Let H be the set of all 2 x 2 idempotent matrices with real entries. Complete the following statements to determine if H is a subspace of M22- (a) H is + If it is non-empty, enter a matrix M E H below. If it is empty, then leave it blank. M (b) His under vector addition If it is not closed, enter two matrices A, B E H below whose sum is not in H. If it is closed, then leave it blank. and B= (c) His under scalar multiplication If it is not closed, enter a scalar k and matrix CE H below whose product is not in H. If it is closed, then leave it blank. k= and C= (d) H of M₂2- Note: You can earn partial credit on this problem.