1. Evaluate the following products involving the 1's vector 1, the identity matrix I, and the ith unit vector e, = [0, 0, ..., 1..., 0, 0]. Assume that all have size n. (a) 1² (b) 1.1 (f) e, e; (g) e, e, (i = j) (c) II (h) 111 (e) 1. e, (d) Ie, (i) e,le, (ij)

Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

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Q: -1 6. Let A = 10 0 1 1 3 1 -2 (a) Find the projection matrix onto the column space C(A).

A: Projection matrix onto the column space

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A: u=2, 1, 0, 1, -1  &  v=-2, 3, 1, 0, 2

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A: Column Space: A set of vectors that spans the columns of a matrix A is called the column spaceof A…

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Q: {H} Let B = and B' Find the change of base matrix from B' to B and from B to B'

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A: a=-5,0,-3 and b=4,0,2sa+tb=27,0,15

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A: Given: Let a=(1,1,......1)T  Then objective is to prove  La=0

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Q: r projection oE the following

A: we've to show whether the projection operators are positive operators or not. Now a projection…

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A: To find  The cofactor matrix and the inverse matrix from the given matrix A

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A: The coordinates of the vertices A, B, and C before the transformation will be given by: A=-d cot(α),…

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