10 00) 0 0 1 0 is 0 0 0 1 The inverse of the matrix A = 0 10 0

Q: Find the inverse of the elementary matrix. 1 0 0 0 k 0 0 0 1 k # 0

A: Let the given matrix be A=1000k0001. Evaluate the determinant as follows. A=1k-0-0+0=k Thus, the…

Q: [1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

A: GivenA=111101212R2→R2-R1R3→R3-2R1A~1110-100-10R3→R3-R2A~1110-10000We know that The rank of a matrix…

Q: Show that the matrix A has no inverse. 1 2 4 3 A = 5 6. 2 6. 2 4 9.

A: Given matrix is, A=1204000356262409. The matrix A has no inverse is possible only when the detA=0.…

Q: 0 2 4 1 2 3 259 a) Express A = as a product of elementary matrices.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (0.25 0.25 1 1 Consider the matrices A and B 0.5 -0.5 %3D -1 1 \0.25 0.25/ Is B the inverse of A?…

A:

Q: a. If a = i-2j + k , b= i+ 2j-4k , c = 2i -3j + k Evaluate: D= ( a x b )x( a x c ) b. Determine the…

A:

Q: 1 1 2 A =|0 1 0|,compute inverse matrix A 0 0 1

A: We have to find the inverse of given matrix.

Q: [1 2 0] Find the inverse of the matrix 0 1 0 lo o 3]

A: Given matrix is A=120010003. We have to find the inverse of A. First find the determinant of A.…

Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

Q: 1 0 0 0 1 5 -10 1 0 2 1 0 0 Diagonalize the matrix A : if possible. 3

A:

Q: 2 1 4 6 Find a matrix X that satisfies A(X+I,)=B, where A = and B = 6 5 3 5

A:

Q: 1 0 0 The inverse of the matrix A =| 0 1 0 is: -4 0 1

A: Inverse of the matrix

Q: 1 1 2] X =| 2 2 2 3 1 Calculate the inverse of the matrix 4 by using the result of Cayley Hamilton…

A: The solution is given below in the next step:

Q: 2 0 0 Q.5) Using Cayley-Hamilton theorem find the inverse of the matrix A = 2 0 -3 5 2

A: Given: A=200120-352 To determine: Inverse of the given atrix using Cayley-Hamilton theorem.

Q: a. If a = i-2j + k, b = i+ 2j-4k , c= 2i -3j + k Evaluate: D= ( a x b )x( a x c ) b. Determine the…

A:

Q: 0 5 1 9 4 9 2 1 2 the identity matrix, obtain the inverse of A. (b) Let A = By row reducing the…

A:

Q: The matrix 1 0 1 -1 1 1 1 0 1 [ −1 1 1] has no QR factorization. O True O False

A: We have to determine the following statement is true or false ; The matrix  101-111101-111  has no…

Q: Q3: Express A and A-1 as a product of elementary matrices. [1 0 5] A = 0 1 6 li o 3]

A:

Q: 11 is equal to 23 The inverse of the matrix A O A. 3 -1 -2 1 OB. -13 1 -2 C. -2 3 -1 1 D. None of…

A: inverse=?

Q: (1 2 3 Q15. Apply Gauss-Jordan method to find the inverse of the matrix 0 1 2 3 1 1

A:

Q: [1 0 1] Q2. Is the matrix A = 0 1 1 defective or diagonalizable? If diagonalizable, write the…

A: We have to solve given problem:

Q: 3 1] Write X = as a product X =E,EE3 of elementary matrices. %3D 50 E = E2 = ,Es= 00 %3D

A: The given matrix is: X=3150

Q: 11 Use the Gauss–Jordan method to find the inverse of the [1 0 2] matrix 0 1 L0 1 1]

A: By Gauss-Jordan method an inverse of matrix is find, it is also called elementary row operations…

Q: 4. Express the following matrix A and its inverse (A-1) as products of elementary matrices, 1\ A =…

A:

Q: 3: Express A and A-1 as a product of elementary matrices [1 0 51 A = 0 1 6 li 0 3] 1

A:

Q: [1 1 0 Consider two matrices A= 0 1 1 . Inverse of matrix A is Lo 0 1 [1 0 0 1 0 1 [1 0 0] 1 0 1. 0.…

A: The given matrix is 110 011 001.

Q: 2 0 Find the spectrum of the matrix A = 2 X(A) = { Ex: 5 :}

A: Consider the matrix  2002

Q: 1 0 0 0 0 0 1 0 is 0 0 0 1 The inverse of the matrix A = 0 10 0 (10 00 A-1= 0 10 1 0 100 0 0 10 10 0…

A:

Q: 2 1 1 1 2 1 0 0 1 Jse Cayley-Hamilton theorem to find A20 where the matrix A =

A: A=211121001A-λI = 2-λ1112-λ1001-λ…

Q: 4. (a) Using Cayley-Hamilton theorem find the inverse of the matrix [i 2 1] A =| 2 1 0 1 1

A:

Q: Determine the elementary matrices E1, E2, E3 such that 1 2 3 0 1 4 0 0 1 E¡ E2E3

A: Given matrics

Q: Find the inverse of the elementary matrix. 1 0 0 0 k o 0 0 1 k + 0

A:

Q: - Let 3 -2 0] 6,B 3. -2 A : 1 -3 7 12 -2 1 -2 1 a. Find the elementary matrix E such that B = EA. b.…

A: NOTE: Refresh your page if you can't see any equations. . . so the elementary matrix is

Q: [1 0 0 Let A = 2 1 0 and b = 1 3 2 3 (a) Use Gauss-Jordan elimination to compute the inverse of the…

A:

Q: -2 1 -1 1 -1 1 3 (a) does the inverse of the matrix exist? Your answer is (input Yes or No): Are the…

A: The inverse of a matrix is said to exist if and only if the determinant of the matrix is non zero. A…

Q: 2. (a) Detennine the nullity and rank ef the following matrix: 1 10 0 0 0 1 -2 0 4 20 0 3 -2 1 2 2 0…

A:

Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

A:

Q: 0 1 the inverse of matrix Select one: a. b. 1 0 1 1 0 1 1 0 d. 1 0

A:

Q: '-2 -1] [3 5 B= 0 T-1 2 0 | 2 0 3 4. Let A, B and C be the matrices A= 1 and C = 3 Find a matrix X…

A:

Q: (iv) Given the matrices 3 1/3 -1/6 and B =D 1/2 A =0 Verify that AB BA = I where I is the identity…

A: Given that A=3102 and B=13-16012 verify AB=BA=I

Q: 1 1 1] 11. Find the inverse (if it exists) of the following matrix: 0 1 1 Lo 0 11

A: We first find the determinant of the matrix. 111011001=1(1-0)-1(0-0)+1(0-0)=1≠0 So this matrix will…

Q: 1 0 1 3 0 2 6. Let A = and B = %3D 5 1 (a) Calculate the matrix Aª.

A: given matrix  A=1051 (a') to find A4 multiply the matrices using matrix multiplication. A4=A2·A2…

Q: 1 0 07 1 Are the matrices A = 3 1 1 and B 4 1 inverses of each other? %3D 10 1 [ 1 0 1 Yes ONo >…

A:

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: (0.25 0.25 1 Consider the matrices A = and B 0.5 -0.5 -1 \0.25 0.25, Is B the inverse of A? OTrue…

A:

Q: -4 Let A = Find a matrix B such that AB=I. 1 - 1 1 O a) 4 O b) 1 1 4 3. c) - 3. 3 1 4 3. o d) 3. 4…

A: To find a matrix B such that AB=I

Q: 0 0 What would the answer be for Ax = b if A = L|0! 0 U? The %3D %3D 0 0 matrices L, U and b are as…

A: Given that A=L160001500013U, Where L=100−1100−11 and U=1−1001−1001 We have solve the equation Ax=b…

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

A:

Q: 1 1 1 5. Find the inverse of the matrix A = 2 1 1 1 1 2

A: First we find out |A| then we find out adj.A then A-1=adj.A/|A|

Q: 1 4 9 7 For the matrix A where A 2 5 12 11 3 6 15 15 Determine the nullspace of A

A: First we have to reduce into row echelon form of the given matrix.