Find Al, IB|, AB, and |AB|. Then verify that JA||B| = |AB|. %3D -1 0 0 040 -1 4 1 A = 101 B = %3! 010 006 (a) (b) |B| (c) AB (d) JAB|

Q: (o42)2) O 3te-24 O 3e 4 (1 + 2r) 3e-21 O 3e-24 (1 – 21) O 3e4 (1 + 2t)

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Q: Evaluate. (a) (– 6)2 (b) – 62

A: We have to solve given Questions.

Q: E Example 4: Find the value of x. ={(2x – 4) ((2x-4) 9 = V. U 9. 2х-4 D

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Q: -2 6. [æ 2 1] = [0] -2 1 -1 -6 -4 -1

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Q: Let W = {A E M3: a1 = a12 = 0 and an = an= az3}. %3D Then dim(W) = (A) 4 (B) 5 (C) 6 (D) 3 (E) 7

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Q: P(A) = P(B|A) = P(A and B) = ? 10 %3D 10 Answer: 13 %3D P(B) = 20 P(A) = P(A or B) = ? %3D Answer:…

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Q: TRUE e) If A = {1,2}, B = {3,4}, and C = {A,B} then |P(C)| = 4 %3D FALSE

A: Solution :-     The given statement is       "   A = { 1 , 2 }  and   B = { 3 , 4 }  and     C = { A…

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

A: Solution

Q: (b) Write z = (3- 3i)+ in the form of x +iy.

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Q: let A = {1, 2, {1}, {1, 2}, 3, 4} then which of the following is true? (A) {3}e A (B) {1,3}e A (C)…

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Q: 9) (5y + 8y) - (4y + 3y') 10) (2x' + 6x) + (3x - 4x)

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Q: Select the correct answer from each drop-down menu. (5 – 31)( +iy) (4 – 5i) = (2+1)²–(3–4;)? %3D If…

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Q: [5 6 7] 3 2 1 If A%3D 8 9 01, В %3D 19 0 8| find (a) 3A + 5B (b) 5A + 3В. 1 2 3 7 6 5

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Q: 1 3 4 -3 -6 -7 A = %3D 3 3 -4 -5 -3 9

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Q: FLUENCY 1. Which of the following is equivalent to x? (1) SI (3) F (4) F 2. If the expression was…

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Q: (a) Find a basis for the nullspace of A (b) What is the nullity of A (c) Find a basis for the column…

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Q: (a) If A = {3,7, 2}, find P(A). %3D (b) What is [A|? (c) What is | P(A)|?

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Q: 1 0 -11 1 2 1 Let A = Determine the QR-factorization of A. 1 1-3 1 1

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Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,…

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Q: If x= v3 + 1, then the value of (x --)² is %3D (a) 2 (b) 1 (c) 0 (d) 4

A: x=3+1 we have to find x-1x2

Q: コ13 ) ) -3(3-8

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Q: -1 -4 2 -2 -2 2 If A -4 -1 1 and B = 1 -4 4 then %3D -4 -4 1 2 -2 -4 ЗА - 2B — and | AT

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Q: X1 +x2 +x3 %3D X2 +x4 5 %| X3 X1 +x4 X1 X2 +s X3 Х4

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Q: -4 -2 Let E= 0 Find 2E. -3 5

A: Given,  E=-4-204-35

Q: -3 -1 Let A = ( ), and B = ( ) C = 2A - B What C1? a = %3D C = %3D 10

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Q: 7

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Q: (10 points) Let F = {{a,b}, {c, d}}. What are each of the following %3D (a) (2 points) UF (b) (2…

A: Given the set F

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

A: We need to find: (a) ∣A∣, (b) ∣B∣, (c) AB,  (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣. “Since you…

Q: Show (a) (AB)' = B'A' (b) (AB)-1 = B-A-1 %3D %3D

A: Let X=abcd, then Xt=acbd. The inverse of X=abcd is calculated using the formula: a  b c  d -1=1deta…

Q: Let f (2) = 2x –7 and 9 (2) = -4x +3 Find (g o f) (3) %3D

A: Given that, the functions are fx=2x-7 and gx=-4x+3. Obtain g∘fx.…

Q: 3. Find -34+ 6B. -3 5 -6 -2 B = 6 %3D %3D 9 -5 3 2 -1 -6

A: Given:        A=-35-69-53        B=-2672-1-6        3A=3×-35-69-53          3A=-915-1827-159…

Q: -5 2 If A = , find A-1 -6 4 O A-1 -2 O A %3D 6 -4 4 -2 O A-1 6. -5 O A-1 으4 112 || ||

A: The solution are next step

Q: dx How can we reduce the % expression to the expression ***, ?

A: We have to solve given problem:

Q: If P (A)=0.5, P (B)=0.3, and A and B are mutually exclusive, find P (A or B). P(A or B) =

A: Given that  P(A)=0.5 , P(B)=0.3  A and B are mutually exclusive

Q: Evaluate L-1 [6s-5' s²+95

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Q: i (2 + i) z = (-1+ i)*

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Q: xdx √x-2

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Q: Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

A: Let u={1,0,2},v={0,1,3} and w={1,0,1} .