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Four vectors: a = [0 2 2], b' = [1 0 -1], c' = [1 2 4 8], d' = [1 2]. Compute each of the following or explain why it is impossible. Inner products of each of the four vectors with itself and every other vector. The outer product of d with a, b, and c. Invert, if possible, a'a and aa'. Answer: a'a = 8, inverse = 1/8; aa' is a 3x3 singular matrix, which cannot be inverted.

Four vectors: a = [0 2 2], b' = [1 0 -1], c' = [1 2 4 8], d' = [1 2]. Compute each of the following or explain why it is impossible. Inner products of each of the four vectors with itself and every other vector. The outer product of d with a, b, and c. Invert, if possible, a'a and aa'. Answer: a'a = 8, inverse = 1/8; aa' is a 3x3 singular matrix, which cannot be inverted.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Four vectors: a = [0 2 2], b' = [1 0 -1], c' = [1 2 4 8], d′ = [1 2]. Compute each of the following or explain why it is impossible. Inner products of each of the four vectors with itself and every other vector. The outer product of d with a, b, and c. Invert, if possible, a'a and aa'. Answer: a'a = 8, inverse = 1/8; aa' is a 3x3 singular matrix, which cannot be inverted.
Transcribed Image Text:Four vectors: a = [0 2 2], b' = [1 0 -1], c' = [1 2 4 8], d′ = [1 2]. Compute each of the following or explain why it is impossible. Inner products of each of the four vectors with itself and every other vector. The outer product of d with a, b, and c. Invert, if possible, a'a and aa'. Answer: a'a = 8, inverse = 1/8; aa' is a 3x3 singular matrix, which cannot be inverted.
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