Question

(A−λI)x=0 and x≠0 iff det(A−λI)=0: Why [[1,1],[1,1]][[2],[3]] = [[5],[5]] ≠ 0 when det([[1,1],[1,1]]) = 0?

score 591 · Answer 1 · 2026-04-01 02:05:46

591

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(A−λI)x=0 and x≠0 iff det(A−λI)=0: Why [[1,1],[1,1]][[2],[3]] = [[5],[5]] ≠ 0 when det([[1,1],[1,1]]) = 0?

Published on 01 Apr 2026 - 2:05

score 169 · Answer 2 · 2026-03-26 17:13:30

169

Views

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66

Views

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25

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955

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1.3k

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147

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388

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score 36 · Answer 9 · 2026-03-25 14:26:53

36

Views

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score 1.1k · Answer 10 · 2019-08-28 19:36:36

1.1k

Views

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321

Views

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110

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36

Views

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score 119 · Answer 14 · 2026-03-31 10:05:29

119

Views

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score 75 · Answer 15 · 2026-04-04 20:37:28

75

Views

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Published on 04 Apr 2026 - 20:37

List Question

(A−λI)x=0 and x≠0 iff det(A−λI)=0: Why [[1,1],[1,1]][[2],[3]] = [[5],[5]] ≠ 0 when det([[1,1],[1,1]]) = 0?

Show that the set {$v: v^{T}A v \le 1$} is bounded iff $A$ is a positive definite matrix

Vector product between orthogonal terms?

Values of variable given the angle is 90 degrees

Rank 3 tensor multiplied by vectors

Plane Equation Where $D\neq0$ - Part II

How to find min distance between line that doesn't intersect a plane

How compute the angle (in rad) between x= [3, 4] and y= [1, −1] using the dot product?

Is this the only solution for $|r_k-r_{k'}|=\text{const}, k \neq k'$ for $k=0,..,4$ for 3 dimensions?

Is the main purpose of the dot product to find the angle between 2 vectors?

dot notation for common multiplication vs dot product notation

Directional derivatives and unit vector

Confused about the representation of a basis in $V = M_{2×2}(\mathbb{R})$

a little doubt while solving questions on resolving a vector into components components

Write the inequality $\mathbf a < \mathbf b$ with unit vectors?

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