If a ∘ b = a2 + 2b and a ∗ b = b2 – b, find (2 ∘ 3) * 4.

Q: verify that3(AB) = (3A)B = A(3B)

A: Given matrix

Q: Is it true that the rank of [B AB If not, under what condition will it be true? A"-B] equals the…

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Q: Find, if possible, AB and BA.

A: we have to find AB and BA. A=4-31-522       , B=2101-47

Q: Find JA|, |B|, AB, and |AB|. 1 4 2 -3 0 A = -2 -4 1 B = 1 -1 3 3 1 2 11 (a) JA| (b) |B| (с) АВ (d)…

A: Find the determinant

Q: If a2 - b2 = 8 and a*b = 2, find a4 + b4.

A:

Q: If  A= [ 1  3  1 ]        And     B= [ 4  4  -4 ]      [ 3  1  2 ]                          [ -4  0…

A: AB=

Q: verify that A(B + C) = AB + AC

A: Now,

Q: If b, b b3 = -2, find a-a az as bb, b by

A: Given: Matrix is given

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: If || v || = 2, what is || - 4v || ?

A: From the given data:

Q: If x2 y? z=54, xy? z²=36, x² yz?=4, x² yz?=4, then find X+y+z.

A:

Q: What would 6w+5=8w+11 be?

A: Given equation is  6w+5=8w+11 Solve the equation for W To solve for 'w'  we need to get 'w' alone…

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: a). b).

Q: If 2x + 6y = 3xy and 10x - 3y = 4xy, find x, y. a) 3, 2 b) 2, 3 c) 4, 6 d) 6, 4

A:

Q: If 30A=25B, 5B=4C and 2C=15D, what is 30D? ЗА 4A 5A 6A

A:

Q: if it was then a) 2. b) 1> ċ

A: Consider the given information as 1>c>0

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A:

Q: If e5z 26, then x =

A:

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: Use Cayley-Hamilton to find B4 and B-1 . Where [1 B = 0 1' 1 - 3 -1

A: It is given that B=12-101-13-11 The characteristic equation is given by:…

Q: In the diagram below, if mz1 = x°, mz3 = 2x°, and mz4 = 2x° , find mz1. 3 4 5 6 36° O 72° O 99° O…

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Q: If e5z 24, then x =

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Q: When using the general multiplication rule, P (A and B) is equal to: O a. P(A/B).P(B) O b. P(A).P(B)…

A: It is given that P(A and B).

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: If S(8f(x)+ 5) dr = 8 , then

A:

Q: If A= 3 6 B= then, 3A-2B= 0- 1 Select one: O a. 9-6 0 29 O b. -9-6 029 O C. 9 -6 0 31 d. 11 -6 0 29

A: We will solve the following

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: If 0 = 0 and R = 7√2, then F₂ = 2

A:

Q: Ifm∠1=3x+15,m∠2=4x-5,andm∠3=5y,findthe valueofxandy.

A: Given : m∠1=3x+15, m∠2=4x-5, and m∠3=5y

Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of…

A:

Q: Show that (A + B)2 is not equal to A2 + B2 by showing that this is not true with A = 3 and B = 2.…

A:

Q: Compute, if possible. 1. -4D? 2. (ЗАТ — 2С) 3. А(ВC)

A:

Q: Given: AM = 2r + 1, MB = 3x + 2, and AB = 6x - 4 Find: x and AB

A: Given:         AM = 2x + 1,  MB = 3x + 2   and AB = 6x - 4   To find:          x and AB.

Q: If ACDE~AFGE, find x. C 3x + 2 10 E. 16 5x + 1

A: Given,   △CDE ≈△FGESo,CEFE=DEGE

Q: If e6z = 16, then x =

A:

Q: If v = -5, what is -2v – 9? %3D

A: we have to find

Q: Ifv= (x² + y² +2²)−¹, then 320 + + is 8²v 8² Əy² 822 1 -1 -1/2 Other:

A: Given that     v = (x2+y2+z2)-1/2

Q: (b) k(k - 1). k-3

A: Note: As per our company guidelines we are supposed to answer only one question. Kindly ask the…

Q: If m2CAG = (a + 20) and mAGF= (2a+ 10)°, find mACF.

A:

Q: e an=2an-1+4an-2+4an-3 and a4=4, a5=0, and a6=-16 find a1,a2,a3

A: Given: Suppose an=2an-1+4an-2+4an-3 . . . .(1) and a4=4, a5=0, and a6=-16

Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

A:

Q: If e7z = 26, then x =

A:

Q: If 98 + 3a = 4b, what is a in terms of b? OA. a = 3(4b +98) OB. a = 3(4b-98) Oc. a = (4b-98) + 3 OD.…

A:

Q: If f(x) = x³ + x4 + ax³ + 4x² – : 32x + b is divisible by x² – 36, find the values of a and b.

A: We will find out the required values.

Q: If a×b=a×c and a does not = 0 , does this mean that b=c?

A: As, the relation given

Q: A family is coloring eggs and wants to make two shades of purple, “light purple” and “deep purple”.…

A: As per the given data, we will have the following:   Light purple Dark purple Total spoons blue…

Q: Determine whether the following is (T)ru Do2(ZABC) = ZA'B'C, then BC || B'C True or False

A: It is given that;  DO,2∠ABC=∠A'B'C'

Q: If MĐBAC = (3x + 5)° and mĐACD = (40-2x)°, find x. A 7B E

A: According to question We have to calculate the value of x

Q: 72,wh

A: Introduction: The division operation is the inverse of the multiplication method. In multiplication,…