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= 1 0 2 , C = 7 -8 0 1 2 0

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

A:

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B…

A: Cartesian product: The cartesian product of the sets A and B is defined as the set of all the…

Q: Which of the following is equivalent to (1-x)(1+x) - 3x (2-x)? A. 3x² - 6x +1 B. -3²-7x + 1 C.-4x² -…

A: Recall: (a+b)(a-b)=a2-b2

Q: (9y² + y - 7) + (7y² -y-4) = ]

A: We have to add 9y2+y-7+7y2-y-4

Q: If -91 and B -3 [8 A = -10 3 4 then 188 А(5B) -

A: We will find out the required value.

Q: If M = 24a-2b-3c5 and N = 18a 7b6c-4, then =? M

A:

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

A: Solution

Q: Which of the following is equivalent to (1-x)(1+x) -3x(2-x)  A. -4x2 - 6x + 1  B. 2x2 - 7x + 1 C.…

A: Given expression is (1-x)(1+x) - 3x(2-x)

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

A:

Q: 6.) Simplify: -2.5(-2b+ 3) – 6b

A:

Q: 11. (8-4w)(-6w+2)

A: To evaluate: 8-4w-6w+2 We know that x+px+m=x2+px+mx+pm

Q: 3c². 2c +4c² = c(7c — 2) - Select one: O True O False

A:

Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

Q: veify For nzl that 2n t i73+5 tn t (2n-1)

A: To verify : For n≥1 ,   prove that 12+ 32 + 52+........+ (2n-1)2 = 2n+13

Q: (n+3)!

A: (n+3)!/n! =(n+3)(n+2)!/n!

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

A:

Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

A:

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

A:

Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

A:

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: S + (2 + ² + 2)²³² de 호 t

A: Given, ∫t2t2+2-12dt

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-