4 3 1 Compute det (A- B)c) 2. Let A 2 2 1

Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: [1 07 6. Compute (ATBT)" - BA , if A = 1 2 [2 and B = 1 A. -1 0 1 0 В. 0 1 1 С. 1 0 D. 0 0 5 4 1 7.…

A: We are entitled to solve only one question at a time. Please post other questions separately. To…

Q: 10

A:

Q: [2 Let A = |3 1 1 1] 3 2 1] 1 1 2 2 3 2 1 and B 1 Compute AB 3 1

A: Using Matrix Multiplication.

Q: 1. If f(3) - A (3) = 15 and gʻ(3) =- ) (fg)'(3) USTO TO. %3D COMPILE OMPILEDA PILEDAN ED A ) = -3,…

A:

Q: I, \B|, A + B, and |A + B|. Then verify -1 1 8. 1 0 1 A = 0 1 1 B = -1 1 8 1 1 -1 0 1 8

A: Given: A=-11801111-1, B=101-118018

Q: [1 0 2] 6. If A= 2 -1 3 and B = 3 4 1 8 4 8 -7 9, then prove that (AB) = B" A". -5 0 2 %3D 2.

A: Given:             A=1022-13418 and  B=2483-79-502…

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

A:

Q: (15) Let A= [1 01 [2 1] and B= [2 01 L-1 1] Compute AB

A:

Q: Let a = (4,0, -2) and b = (2, –2, 3). Compute: a + b = ( a – b = ( 2a = ( За + 4b %3 ( |a| =

A:

Q: 20 2 Compute det B* where B = 113 2 2 2

A:

Q: [2 3 Let A= PDP and compute A*. where P= 4 -2 0 D= a) -1

A:

Q: Let 1 2 3 4 5 6 1 2 3 4 5 6 6 1 2 4 3 5 a = and ß %3D 2 1 3 5 4 6 Compute each of the following. 1)…

A:

Q: 31. Prove parts (a), (c), and (d) of Theorem 3.1.1.

A:

Q: -1 2 1 Let A Compute AAT and AT A. 1 0 1 1 -1

A:

Q: 0 1 1 1 1 4- Gof G= is 1 10 1 1 1010 0 1 1 1 1 1 1 01 1 10 1 0 1 1 1 1 0 1 10 1 1 10 1 a- 01 0 d- !…

A: See the attachment

Q: 1 Let A = -2 2 -1 3 1 0 -1 1 0 -2 B= 1 and C = Compute BAT - С3.

A:

Q: [1 21 21 B 3. [3 1 21 l4 3 1. and C = |3 4 Compute ABC if A =

A: We can compute ABC as below.

Q: 3 Let C = 6. 6. 4 and D = 2 -6 7 -4 -1 Find DC if it is defined. Otherwise, click on "Undefined".

A:

Q: 10 [19] 2 0 1 18. Compute (ATBT) - BA, if A = and B = 0 1 A [1¹] B. 0 0 -5 4 1 19. Find C(AB), if A…

A:

Q: [1 Let A = -2 2 -1 3 1 0 li o -1 B = 1 0 -2 1 1 and C 0 0 Compute BAT – C³.

A:

Q: 1 1 1 Let A=| 0 1 1 then adj(A)= 0 0 1 Select one: а. 100 1 1 0 1 1 1 O b. 1 -1 0

A:

Q: 3. Compute the det A for 0 1 -1 0 -1 3 1 2 A = 2 2 0 -1 - 0 1 -2 1

A: As it is a 4 by 4 matrix we can expand our ain't any column and find the determinant of matrix

Q: 4 -7 -3 -2 8. Let A = [^, and 8 = [ -21. Compute A-1B. -1 2 1

A: first we compute A^-1 by using formula

Q: 1. Let Z defined by the product of two numbers taken separately from two boxes containing 1, 2,3 and…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Prove Theorem 2.2(iii) and (iv): (iii) (B+ C)A = BA + CA, (iv) k(AB) = (kA)B = A(kB).

A:

Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

A:

Q: (1+ 2* + 2° 3 Compute S = > i=0 * IN

A: Sum of AP and GP

Q: 6 -1 Let A =| 0 -2 and B . Compute (AB)". Show your work. 4 3

A:

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

A:

Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

Q: 1 5 Q2: Let A =-3 2 5 compute A- 1 31 1 4

A: Given matrix is A=156−325413 We have to find the inverse of A that is A-1. The inverse of A is given…

Q: [1 1 1- Let A = 0 2 1 Lo 1 21 (a) calculate A100 01 (b) calculate eAt

A: Answer is mentioned below

Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

A:

Q: The Gcd(5a + 2,7a + 3) is a) 2 b) a c) 1

A:

Q: 31 Let A =-1 4 and B = 3] 2 [3 -1 . Compute the (3, 1) entry of AB.

A: Given: A=23−1403  and  B=3−13124[AB](3,2)=?[AB](2,3)=?

Q: 1 2 A = 1 B 1 2 : , - compute AB 3 4

A:

Q: 5 3 compute 2A Given A -1 -1

A: The matrix is given by A = 53-1-1 To evaluate : The value of 2A

Q: Let 1 -1 8 -3 -5 2 -1 , and B = 1 %3D %3D -2 1 4 -7 Compute A-1, (BT)-1 and B-1A-1. What do you…

A: A=1-1102-1-213, B=8-3-50124-76 Expanding the determinant of A, B along column first…

Q: 1 1 1 A =|1 0 1 B = Compute Aß 10 1 1

A:

Q: 8 1 4 9 1 1 1 4 7 10 3 7 7 11 1 What is the mode? If there is more than one mode, enter your answers…

A: Mode: mode may be defined as the maximum frequency of the observation is called mode.

Q: 9

A:

Q: {1.3.5...(2n - 1)} Prove that: "C, %3D n!

A: You can solve the question from either one of the sides. I solve from right hand side.

Q: 1 2 3 ) Assume A = 0 4 2 3 1 0 2 3 1 B= 1 2 5 2 3 1 Verify that AB ± BA :

A: Given matrices: A=123042310B=231125231

Q: 0 0 1 -1 1 1 2 0 1 [1 | Let A = 1 1 and B = %3| 3 1 Compute each of the following: (b) В? (а) АЗ (с)…

A: (a) part Consider the given matrix   A=10-1211310 Then,…

Q: 2 3 5 QIB) prove A.A1=I if A- 4 16 1 4 0

A: A detailed solution is given below

Q: 2. Let ā = (3, -4,0) and b = (2, – 1, 5). Compute e (a) ā . 6 = %3D 6 14= 10 (b) ā xb = 3-4 0 こ 21…

A:

Q: а — 2 a Suppose Det - 10, Det 10, and Det а —2 – 2. .cd] 1 -2 + b a Det = 1+d a Det

A:

Q: 0 1] -1 3 -2 0 0 1 Compute det (B), where B 3 det (B*)

A: