个 Determine whether w is in the column space of A, the null space of A, or both. - 11 7 -3 0 -8 4 02 13 - 10 7 3 3 -2 10 W= 1 A= Is w in the column space of A, the null space of A, or both? Column Space Both Null Space

Q: Let B={(1,-2,0,-1), (0,1,0,3), (1,2,1.0)], and x=(4,3,-2,-5) Find [x]B Give your answer in the form…

A: B=1, -2, 0, -1, 0, 1, 0, 3, 1, 2, 1, 0x=4, 3, -2, -5

Q: 17. Given R ={(2,3), (3,3), (3,5), (5,2), (5,4), (5,5)} on the set {2,3,4,5). Find * R-1 А. (2,3),…

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Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: 7 - 32 0 - 36 ? -4 1 Is - 4| in the null space of A= 9 2 3 - 4 Is it in Column space of A?

A: Suppose A is any mxn matrix then Null(A) is the collection of all vectors y of order nx1 such that…

Q: QUESTION 16 a)Find the order of ((1 2 3 4),7) in D₂XU (12). b) Find the order of (15,15) in Z20…

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Q: Determine whether w is in the column space of A, the null space of A, or both. 3 7 5 -6 3 1 A = 0 -4…

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Q: 1 0 0 0 0 1 0 0 0 10-12 1 -1 2 0 -10 3

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Q: -2 23 3 in span Is {} 2 3 1 1

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Q: If B has a column of zeros, then so does BA if this product is defined. O True O False

A: We check that if B has a column of zeros , then so does BA if this product is defined.

Q: Let V be the set of all ordered pairs of real numbers under the following operations of addition 1.…

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Q: Find u x v, v x u, and v x v. 3D(-7, 1, 2) 3(4,7, -6) u = (a) u x v (b) (c) V X V

A: Solve

Q: - 3 - 3 - 8 Let v1 = 0 |. v2 = V3 = Determine if u is in Nul A, where A = V1 v2 V3 and u 8 10 5 8 Is…

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Q: Find u x v, v x u, and v x v. u = (3, -8, -3) (6, -6, -7) V = (a) u x v (b) v x u (c) v x v

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Q: True or False. If A = {0,1,2,3}, then A C A

A: Given, A={0,1,2,3}, then A⊆A

Q: Find the rank(A) and null(A). 1 -3 -1 9 . -6 -1 4 -2 -10 -3 9. -6 -6 -3 3 -9 4 9 a) 1; 4 b) 2; 3 c)…

A: Rank(A) and Nullity (A)

Q: Cal 3 HW 11.4 Q4

A: Step 1: Step 2: Step 3: Step 4:

Q: let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then 5u 3v W equal (-3,4, 20) O (3,4, -20) ( 3,…

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Q: ихw3 (4, 5, 8) w x v = (6, 2, 6) Then (u +2 v+ w)x w =

A: Given u×w=(4,5,8)=4i+5j+8kw×v=(6,2,6)=6i+2j+6k

Q: 2 4u 1 2 0 1 = 2 u 3 v(11 + 5u) v(2u - 6) u(6 – 11v) u (3v+8)

A: Step 1: Step 2: Step 3: Step 4:

Q: Let A = {1, 2, 3} and B = {1, 3, 5}. Let A × B denote the Cartesian product of A and B. Indicate if…

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Q: Does the set S = {(1,2, 3), (0, 1, 2), (-2,0, 1)}span R³? %3D O Yes O No

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Q: Find bases for the row space and column space of A. -2 -3 -5 A 1 1 1 2 4 3 2 9 7 6 5213 2 -3

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Q: √4y, y = 4 and = 0) is revolved about the line = 2 Find the volume of the solid generated when the…

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