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1) Consider the vector spaces V and functions (...): V XV + R defined as follows: 1 point = i) V = R2 and ((x1, x2), (y1
Posted: Sat Feb 26, 2022 11:00 am
by answerhappygod
- 1 Consider The Vector Spaces V And Functions V Xv R Defined As Follows 1 Point I V R2 And X1 X2 Y1 1 (176.58 KiB) Viewed 35 times
1) Consider the vector spaces V and functions (...): V XV + R defined as follows: 1 point = i) V = R2 and ((x1, x2), (y1, y2)) = x1y1 – 2241 – 2192 + 2x2y2. ii) V = M2x2(R) and (A, B) = Tr(AB), where Tr(M) denotes the trace of a matrix M, i.e., the sum of the diagonal elements of M. iii) V = M2xi(R) and (A, B) = Tr(AB'), where Tr(X) denotes the trace of a matrix X, i.e., the sum of the diagonal elements of X. Yt denotes the transpose of matrix Y. iv) V = R2 and ((2x1, x2), (91, y2)) = x1y2 + x241. = (i) is an inner product. (ii) is an inner product. (iii) is an inner product. (iv) is an inner product.