Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1 %3D -2 3 (b) Show that (AB)-1 = B¬1A-1, 24 (AB)-1 %3D 14

Q: 1 -1 -2 1 -2 Exercise 2.1.11 Let A = -2 -1 B = 2 and C = -1 2 Find the 1 2 -3 -1 following if…

A: Answer is AB is possible because order of A is 3*2 and order of B is 2*3 then the order of AB is…

Q: 1 A = -1 0 2 a) B = 1 -2 4 5 (-3 -3 b) A = 2 7 B = 11 -6 18 -11 13 A = 28 43 c) B = 22 -3, 12 4 3 -3…

A:

Q: 3 1 4 -3 A = and B = 0 5 1 (a) Compute (A + B)?. (A + B)2 = (b) Compute A? + 2AB + B2. A? + 2AB + B2…

A:

Q: 6 1 9 then (2A" + B")" is given by 3. -1 0 and B = 2 1 3. Let A = -1 0 5/2 1/2 0 (A) 15/2 9 1/2 (5/2…

A:

Q: 2 -4 4 -7 -17 7 5 A = 0 3 12 1 2 -4 3 3 Find a14, a21, a31, and a43. a14 %3D a21 = %3D a31 %3D a43…

A: A m×n matrix has m rows and n columns. Any element in an m×n matrix is denoted as amn . A 2×2 is…

Q: 1 1 1 B = 3 5 7 4 0 5 Example 1: Let A= -1 3 2 2 -3 :- Find A+ B and A+C. 1 and C =

A: Given A= 405-132, B= 111357, C=2-301

Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

A:

Q: 2 41 C =-1 2 31 1 0 47 Let A = B = |-1 1 1 2 3 1 3. Carry out the indicated operation or explain why…

A: Given,A=2324 B=24-1130 C=104-112013Clearly ,Addition and substraction of a matrix is not possible…

Q: 3 0 11 06: a: Let A = 12, B =[ -1 1 5 Find (2A-1)B -2 0 3

A: A= 301012-115 B = 1-20-132 find  (2A-I)B'   B' = 1-1-2302

Q: Find both the general solution of the differential equation and the solution with the given initial…

A: Integrate to find the general solution of the differential eq. Then substitute the values…

Q: 12) Зх - 5у%3D17 y = -7

A:

Q: 3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In…

A: Given that       ∫3x53x4+6x3-3x2-6xdx  We can re-structure this integral as…

Q: 3x4-5xe*+2xcos (x) Evaluate: 3x4 - 5ex – 2sin(x) + C 4 (A B x3 - 5ex + 2sin(x) + C O x3 – 5ex –…

A: The given integral is ∫3x4-5xex+2xcosxxdx the objective is evaluate the given integral.

Q: 1 2 Given A=| 4 3 then 3 -2 -5A-1= a. -4 1 -1 4 -5A-1= b. 2 -3 -1 2 -5A-1- C. 4 -3 1 -2 -5A-1- O d.…

A: Inverse of a matrix A=abcd is given by A-1=1ad-bcd-b-ca

Q: 1 4 Given A= then 3 2 -1 3 -10A-1 %3D 4 -2 a. -1 4 -10A-1 O b. 3 -2] -2 4 -10A-1 С. 3 -1 2 -4 -10A-1…

A: Inverse of matrix A = adjA ÷ detA

Q: -2 -3 -3 7 -9 2 -9 -1 5 -2, and B = 1 -2 -7 Let k = -2, A = 6. -8 -6 9 -8 1 5 1 5 7. Compute C = k(A…

A:

Q: Scatterplot 1 Scatterplot 2 Scatterplot 8- 8- 6- 6- 6- > 4- > 4- 4- 2- 2- 2- 0- 0.2 0.4 0.6 0.8 i 0-…

A: The correlation coefficient is lies between -1 to +1

Q: 5. 4 0 3 -3 2 A = B = 4 -1 3 0 -3 -2 1 1 0 0 - [68] D = E = 2 F = 0 1 0 -- 0 0 1 -- --| -4 -2 -1 2 1…

A: See the attachment

Q: 4 0 1 1 [10 -1 1 4 1 1 -1 0 1 0 4 A = 4 B = 2 1 0 4 2 0 1 1 -1 0 [ 1. 2 4 1 0 (a) |A| (b) |B| (c) AB

A: Given: For (a),

Q: (3 4 5 2 -2 -2 ); B=("s 1. Given: A =( 2 -). Find A - B. -5 4 2 2. Given: A = 4 0 2 3. Find 2A - 3B.

A: Given A=341 52-2, B=52-6 -542

Q: 1 2 Given A= 4 3 then 1 -2 -5A-1= O a. -4 3 -1 2 -5A-1= Ob. 4 -3 3 -2] -5A-1= C. -4 1 -3 2 -5A-1=…

A:

Q: 1. Let A = 2 4 a. Find A + B b. det[b] c. 2C 2 B = -1 3 4 1 0 1 04 C = -1 1 2 0 1 3

A: we can add same order matrix  We can find square matrix determinate

Q: 1 2 Given A= then 3 4 1 -2 O a. -2A-1 -3 4 -4 2 O b. -24-1- 3 -1 -1 3 c. Oc. -24-1 2 -4 -1 2 O d.…

A: Given that a matrix A and we find its inverse and multiply by -2 then find value of -2A-1. Here i…

Q: 3 5 9 Let A = 1 and B = - 1 4 0 Find - 3A + 2B. - ЗА + 2B %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: • If x = -0,8, then [x-1]%D %3D 1. -2 2. -1 3. -0.8 4. 1

A: Greatest integer function: For all real numbers x, the greatest integer function gives the largest…

Q: 3x⁴-2x³+4x-5=(a-1)x⁴+(b-3)x³+(c-1)x²+(d+2)x-e Find a,b,c,d,e

A: Given expression is 3x4-2x3+4x-5=a-1x4+b-3x3+c-1x2+d+2x-e

Q: 2 1 A = Given then 3 4 2 -1 5A-1 O a. %3D -3 4 4 -1 5A-1 %3D Ob. b. -3 2 -2 1 3 -4 5A-1 -2 3 54-1…

A: Given A=2134We know that for A=abcd then A-1=1ad-bcd-b-ca

Q: 1 -5 3 b. Suppose that E2 -3 Find E2 and E,'. -5 E2 E,' 1 -5 -20 16 c. Suppose that E3 -3 Find Ez…

A:

Q: 1 3 -1 3 5 -1 2 -1 For Test I, let A =| В 3 -2 and C Find: -3 4 1 2 1

A: To find:  The value of a12 of Ct. Given: The matrix is C=-1012. Concept used: The transpose of a…

Q: [1 3 2 7) A =1 3 3 [27 8 -3 10 -3 B) A-1 - 2 -4 1 -1 1 0 A) A-1 does not exist. 3 2 -3 -2 C) A-1-1…

A: Ans- option (B) is your correct answer....detailed solution I have given ...hope you will get it…

Q: 4. Given A-2 -1 -4 A-1 A = -1 1-3 -5 and 1 1-3 4 %3D -4 -5 1 4 X- 3 Find (i) A and |B| (ii) |A||B|…

A: Given  A=λ-2-1-4-1λ-3-5-4-5λ-6 and B=λ-1231λ-3414λ-3 To find (i) A and B(ii) AB

Q: 3a (a^2 – 3a + 4) – 4(3a^3 – 2a^2) * -12a^3 + 11a^2 - 9a + 12 -15a^3 - 17a^2 + 12a -9a^3 - a^2 + 12a…

A: We have to simplify the given expressions.

Q: Зу + 42 %3D 14.8 4х + 2y - z%3D- 6.3 x - z = - 6.3 х - у+ 52%3D 13.5

A: For the Cramer's rule first we need to detect whether the determinantis zero or not.If the…

Q: find values of x - y - z by gauss Elimination 2 X + y- 3z=-10 -2 y+ z = -2 Z = 6 2,4,6 O 2, 7,6 O 3,…

A:

Q: 1 3 -1 Given A =-1 3 &C 3 1solve for B. -1] -1 0. Where 2A + 2B C -3 -4 -5 -11 -1.5 -2 2.5 -2.5 -5.5…

A: We have to find matrix B.

Q: a11 a12 T12 (2)D2(-1)T21 (3) then %3D If A = a21 a22 a11 + a12 + a21 + a22

A: Given that, A=a11a12a21a22 And,  T12(2)=a12T21(3)=a21 So A=a1123a22

Q: 1) 5b + 4b? + 5b + 4 2) 15b³ – 106² + 6b – 4 A) (b– 1(b+ 1)(5b + 1) B) (b + 1XSb + 4) c) (b– 1)(b+…

A:

Q: 1 3 2 -1 . For Test I, let A =|2 1 -3 3 5 -1 2 B 0 1 -1 0 3 -2 and C Find: 4 1 2 1 2

A:

Q: Q1 2 4 Ir 3 3 x4 [X1 X27 [x3 X4] X1 + x2 3 -1 4x4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, X4 = -3. 2.…

A:

Q: estion 7 2 3 A = 1 4 Given then -4 3 5A-1 O a. %3D 1 -2 4 -3 5A-1 Ob. %3D -1 2 sa - [ -2 3 5A-1 Oc.…

A: folow 2nd step.

Q: 1 4 3 2 Given A= then 2 -4 -3 1 -10A-1 a. -10A-1 Ob. -1 4 3 -2 1 -4 -10A-1 -3 2 -1 3 -10A-1 d. 4 -2…

A:

Q: 3. 5. x1 = 2, x2 = 2, x3 = -2, x4 = 3 4. X1 = 2, x2 = 2, x3 = 2, x4 = –-3 3. x1 = 2, x2 = -2, x3 =…

A:

Q: 5 and B = -3 4 3 Compute AB if A = |-4 -2 -1 1 1 -6

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 1 -1 2 2-1 25 If A= B= -2 0 and C= 1 1 -13 0 1 find (AB) - CT A -4 -6 0 6 B -4 -6 -4 -4 -8 -8 -2 2.

A:

Q: A 5x + 13 3% ++ -5 -4 -3 -2 -1 0 1 2 3 4 5 D -8c + 13 > 47 ++ -8 -7 -6 -5 -4 -3 -2 -1 0 1 2

A: A)5x+13≤485x≤35 ⇒ x≤355 ⇒ x≤7x∈(-∞,7]B)16-7v<216-2<7v14<7v ⇒ 2<v ⇒…

Q: 2 -3 -5 -1 3 Let A = 400- 4 5 B = 1 -3 1 -3 -4 -1 3 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C 5 -5 5 C = 2…

A:

Q: 2x, + x, - 3x3 = 4 4x, + 2x, 3D 1о -2x, + 3x, - 13x3=-8 Select one: a. X, =5/2-1/2t,x, =4t+1,x,=t b.…

A:

Q: [1-1 21 Siven A = 3 0 5] [-1-3 2 2 4 5, find AB. 0 2 -2 and B = 3 -3 -71 |-3 -1 4 3 3 5 O1-2 6 4 1…

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.