Question: Prove, and please explain it with steps 14. Find bases fer the following subspaces of F5: W; = shaman, {14,105} 6 F5: 31 113 {14

Prove, and please explain it with steps

14. Find bases fer the following subspaces of F5: W; = \"shaman, {14,105} 6 F5: 31 113 {14 = } and W2 : {[e1.e2.e3,e41e5) E F5: {12 2 e3 2 ed and e1 + as = 0}. Mint are the dimensions of W1 and W2? 15. The set of all n x n matrices having trace equal to zero is a subspace W ef M3,\".(F) (see Example 4 of Section 1.3). Find a basis for W. What is the dimensien of W

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