Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1 According to that, an equivalent equation to the previous shown is. O a) X = (C-1+1515)A¯'(B")-1 Ob) X = A-(C-1 + 151;)(B")-1 Oc) X = (B")-'(C-+1515)A¬! O d) X = A-(B")"(C-1+15I5)

Q: a) Prove the following: a+b a a a+b =b° (3a +b) a a a a+b

A: Since you have posted more than one question, we solve the first one for you. For the other…

Q: Find f(B)

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Q: Let A = [–2 2]. If possible, find the entries of a matrix B that is NOT the identity, but still…

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Q: 1. Consider the matrices -3 0 2-2 A₁ ¹ = ( ₁ ) ₁4₂ = ( −8 −2 ) ₁4₁ = ( −² − ²). 4 1 13 , , A3 0 -2…

A: We have to match the given matrix with the function represented in the graph

Q: /1 3 21 2 1 1 A = 4 03/ -(² 7 1 -1 -1 Find the matrix A. 1 3 03 -3 7

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Q: For matrix (0 -1 0, 1 0 0, 0 0 1), show that [adj(A)}^-1 = (1 / det(A))*A = adj (A^-1)

A: The objective of the question is to prove the identity adj(A)^-1 = (1 / det(A))*A = adj (A^-1) for…

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 - 13 6 6 6 P=[¯1 ¯2]·…

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Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

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Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Solve the matrix equation AX = B, where -1 하 A: 1 and B 1 1 [6] 0 1 =

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Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: t A be the square matrix (abcd) A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then…

A: If  is a square matrix then its inverse is where

Q: solve for x and y in the matrix A= [ x -4 3 y] if A^2 = [52 -36  27  -11] x = y =

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Q: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: Question -x1 + 3x₂ = 2 2x₁ + x₂ + 4x3 = 3 x2 + 2x3 = 4 [A-¹|I], Find A-¹. (a) Using [IA] (b) Find…

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Q: If A is an invertible matrix and k is a positive integer, then (A*)-1 = A-'A-l...A-1 = (A-!)* k…

A: Given A is an invertible matrix         K is positive number   So AK-1=A-1 A-1....A-1=A-1K-1For 1…

Q: Let -5 ^-[33] ²-[+ ₂] = [42], A = E = =-[B] F-[-2] -1 Compute the indicated matrix. (If this is not…

A: We are given three matrices A,E and F. We have to find E(AF)=?

Q: Prove that the calculate inverse is correct by using the formula I = A(A^(−1))

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Q: A and B are n x n matrices.    check the true statements below:   1) det(A)det(B) = -det(B^(t)A^(t))…

A: The objective of the question is to verify the truthfulness of two statements related to the…

Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

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Q: 1 8 Which of the entries in the matrix 2 -3 -7 9 A) 4 B) 1 Ⓒ-3 (D) -6 -61 4 has-37 as its cofactor?…

A: We have to find correct option by finding element whose cofactor is -37

Q: [1 2) 13 · X = 2-

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Q: -*₁+3x₂ = 2 2x1 + x2 + 4x3 = 3 x₂ + 2x3 = 4 (a) Using [IA]~ [A¹1], Find A-¹. (b) Find Adj A.…

A: note : Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: в - C = -2 F = G - E = -1 155 14N o 9, O72 D 54 3. 15 4. O 35 57 206 6, 408

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Q: ces below to answer questions 1-10. A=[22] B=135] C C= [ 1 1 [2 3 -1 D-6 3 ² - - 1 D= E 2 F 0 1 -2 1…

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Q: (ЗАТ + 4CТВ)Т- 54 - 4B

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Q: Use determinant to find the equation of the line that passes through the points (4, ― 3) & ( ―1,2)

A: We have to find equation of line using given information Concept required: Equation of line passing…

Q: 9 8 7 ^= [ 33 $7] · B =[ 16 ] = [3] A 요가 C -53 -47 -7 Solve the matrix equation below for X. x =…

A: The given matrices are:A=98-53-47B=7-516-7C=3-7-5-1

Q: If the matrix A= [2 5 1;7 3 6;2 5 4], find: A' A(2,3) size(A) LA(:,2)=[] Inv(A)

A: We can solve this as follows: