find AB, BA, A +B, A - B, A, B, 5A, 3B. Observe that AB + BA. Show that (A - B)(A + B) # (A + B)(A – B) + A? - B. Show that det AB = det BA = (det A)(det B), but that det(A + B) # det A + det B. Show that det(5A) # 5 det A, and find n so that det (5A) = 5" det A. Find similar results for det (3B). Remember that the point of doing these simple problems by hand is to learn how to manipulate determinants and matrices correctly. 2 -5 2. A =

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Suppose a, = —4а,-1 — За,-2 — 2а,-3 аnd aд — 21, аз — -77, and as — 259. Find aj, az, and ag- az =

A:

Q: 6. Find AB – C given: [-15 25 A =| 41 32 45 B =|-24 -371 52 -48 -31] 21 [-100 25 -89 -28 34 -2 -98]…

A:

Q: Let U=(2,-1,0,-3) ,V=(1,-1,-1,3) and W=(1,3,-2,2) then -4U+2V- 2W is: * O skip O (-8 -4 2 14) O (-8…

A: U = (2,-1,0,-3) V = (1,-1,-1,3) W = (1,3,-2,2) find -4U + 2V -2W = ? -4(2,-1,0,-3) + 2(1,-1,-1,3) -…

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 22n-3 12 00 ac? cn 4 Türkçe:…

A:

Q: If [1 2 3 A = 3 -1 3] -1 0 2 23 1 of Find 2A - B stion Select one: a. none O b. -153 -5 6 0] O C.…

A: Solve the matrix

Q: 1 y Let A = [1 1 2 0. and %3D -1 2 B = -1 0 Find 1 3 W AB

A:

Q: 2 23nsbnoc = 3(-27) - 2(qw) + 5(-3w?) amsaloorb2o Isnods onA vnndol 2sbs1T bns ahA to loorba…

A: We have to find the polynomial

Q: If(a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that: (a2+b2) (c2+d2) (e2+f2)(g2+ h2) =…

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Simplify (-4r X2r) Oa) 8r13 6. O b) 2r13 O 0 840 O d) 2y0

A:

Q: 2) Find AB and BA if : A = [1 2 3], 405 B = 0 -6 -7 8 9 10 -11 6] 7 -8.

A: For matrix multiplication , the number of columns in the first matrix must be equal to the number of…

Q: IEvaluate Ax)-2x+3x-4 A) x-3 B) x-h+/

A:

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: 2. Using the fact that (AB)¹ = B-¹A¹, show that (ABC)¹ = C-¹B-¹A-¹.

A:

Q: A - B2 {3} and {2} CB implies that {2, 3} CA U B. Select one: O True False

A: Given : A - B ⊇ {3} {2} ⊆ B So, A ∪ B = {2,3} {2,3} ⊆ A ∪ B

Q: | If 4 1 Au 3 and Av = -3 -3 then A(2u + 30)

A:

Q: Compute det B4 where B = det B4 = 102 2 14 2 3 1 (Simplify your answer.)

A: Given: The matrix .To find .Concepts used:To find the determinant of a square matrix, pick any row…

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: If A = Thus, A-1 [28] then det (A) is Choose and det(A-¹) =

A: A=28-50

Q: . EN 5) Find 5B -5 B= -7 3. 6. A = -9- 6 4]

A:

Q: -2 3 If A = Then, A-1 = %3D -6 4 4 2 a) 최 ( 6 3) 4 -2 b) – 6. 3 4 c) 24 6 -3 d) The inverse is not…

A:

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

A:

Q: Find AB and BA. 2 -2 0 A = [33] and B = [11] -3 9 Select one: O a. AB = 2 = [39]; J: BA B = [];BA =…

A: Given: A=2-2-39 and B=1001 We are required to find: AB and BA

Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

A:

Q: 60. Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many…

A:

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.