0 1 -2 1 A=| 5 2 1 -3 3 0 1 5 nd nullity of the matrix A nd all orthogonal vectors to u=(2, -3).

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Q: 19. Find two unit vectors orthogonal to both (3, 2, 1) and (-1, 1, 0). Answer

A: Unit vector orthogonal to both a⇀, b⇀ is: ±a⇀×b⇀a⇀×b⇀

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Q: 1. Are the vectors (-3, 0, 4), (5, -1, 2) and (1, 1, 3) linearly dependent in R3? a. Yes b. No

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Q: The matrir [1 3 -1 A = 0 5 0 2 1 3 Solve the two systems of vector equations Ax = 0 and Ay = 2

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Q: 2 4 5 (1)-(3) 0 3 0 X3: 10 ..:] Can we use Cramer's Rule to check if the column vectors of A are…

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