Suppose [v] is as follows. B₂ [V]B₁ [V]B₂] 2 = = 6 8 10 If ordered bases B₁ B₁ = {[7] [4]} and B₂ = {[:] [ ¹}} find [v] B₁ 9 3 - 00 1 14 13 14

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

Q: Verify that (AB)T = BTAT.

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

Q: 23. Given v4 = 7i - 3j and v5 = i +4j. Simplify the following. V4 + 4V5 a. (-11, 19) b. (11,-19) c.…

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

Q: Calculate the commutators [p(hat)x3, x(hat)].

Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

Q: Q2. Find the inverse of 2 1 1 0 1 0 5 4 1 3 if it exists.

Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

Q: Which of the following are NOT polynomials? I.  \sqrt(x-9) II.   x^8−14x+1 III.  1/2⋅x+0.149 IV.…

Q: 3. Is B the inverse of A? [17 25 ‚B = -2 3 -25 (d) A = 17 [17 25] 24 36 3 (e) A= %3D -2 12

Q: Simplify. (3- 2i) (4 - i) O A. 14 - 1li B. 10 - 11i O C. 12 - 3i O D. 12 + 2i

Q: 4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V,…

Q: Find the following.           u = ⟨0, 1⟩, v = ⟨3, −3⟩

Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

Q: A. Classify the following polynomials as to degree. 1. 4x2 + 3x - 7x + 8 6. 3 + 3x? 2. x + 2x - 5 7.…