Evaluate the following products involving the 1's vector 1, the identity matrix I, and the ith unit vector eᵢ = [ 0, 0, . . . , 1 . . . , 0, 0]. Assume that all have size n.
(a) I²
(b) 1.1
(c) I1
(d) Ieᵢ
(e) 1 . eᵢ
(f) eᵢ . eᵢ
(g) eᵢ . eᵢ (i≠j)
(h) 1I1
(i) eᵢleⱼ (i≠j)

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