4 0 -2 Diagonalize the matrix A if possible where A 2 5 4 0 0 5

Q: a 0 4 0] 0 -1 0 2 Let A= be square matrix. If trace of A is 8 find a+b 1 9 3 0 0 -1

A: Given  A = a0400-10219300-10b trace of matrix A i.e tr(A) = 8

Q: 4 0 -2 | Diagonalize the matrix A if possible where A 2 5 4 0 0 5

A:

Q: 3 - 1. Find the adjugate (adjoint) matrix of A. 3 -4 A = -4 2 4

A: We need to find the adjugate (adjoint) of the given matrix. The Adjugate of a square matrix is the…

Q: 5. Let 2 0 A= H 2 2 0 -3 0 - find the matrix noms

A:

Q: True or False? 1 1 Matrix is intervtible. 3 3 True False

A:

Q: -3 a 1 f B -9 1 3 is the adjoint matrix of a 3 2 -4 0 then the value of a is

A: Given, B=-3a1-91322-4 B is the adjoint matrix of 3×3 matrix of order A.

Q: 2 0 -9 3 0.9 1 15 Given Matrix A = a) What are the dimensions (the size) of matrix A? b) What…

A: Consider the given matrix.

Q: [2 . [1 2 and B = 1 -2 0 the matrix 3(A +2B) is equal to? For matrices A=| 0 1 7 -2 3.

A:

Q: 3 -3 2 B = 5 1 3 2 -2 -1 e. The elementary matrix E, multiplies the second row of B by 1/6. EEE E,…

A:

Q: 2 -3 4 -2 2 4 8 -6 1 Let A = 1 B = and C = Find the matrices below. 2 0 0 1 1 9 4 (a) A - 2B = (b)…

A:

Q: [-1 0 0' 0 1 1 if possible. Show all your work. 1 1 Diagonalize the matrix A =

A: Given: A=-100011011 To find: Diagonalize matrix.

Q: 4 2 2 Diagonalise the symmetric matrix A 2 4 2 2 2 4 %3D

A: Result : Every symmetric matrix is diagonalizable orthogonally. This implies that for symmetric…

Q: 3 1 -6 a. Find the inverse matrix (A¯') if the matrix A = 5 2 -1 -4 3

A: It is an important part of statistics. It is widely used.

Q: [2 0 0 Suppose A=0 3 0, Suppose B is a matrix, and ABA¯ = 4A¯ + BA,find B 0 0

A: Here I am attaching image so that you understand each and every step.

Q: [1 0 4 0 2 0 0 0 3 this matrix is a diagonal matrix Select one: O True False

A:

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

A:

Q: 4 5 A = - 1 4 - 3 - 3 1-3 2. 2. 3 -5 -3 -5 Find the inverse Aof the given matrix A if it exists

A: Given: A=0-145-14-3-31-3223-5-3-5

Q: [2 0 The adjoint of the matrix A = 1 2 is 3 1 1

A: Adjoint of matrix A is given

Q: 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of the matrix is The nullity of the matrix is

A:

Q: 2 2 -1\ Let A = 1 3 -1 -1 -2 2 | (a) Determine if A is diagonalizable. Explain. (b) Find a diagonal…

A:

Q: 5 7 2) 3 1and B -1-2 0 10 ( 5. The Matrix A and B are a non nxn matrix. Given that A= 2 11( %3D -5…

A: Given that A=572231-1-20 and B-1=100110-5-21 (a) The objective is to find A-1. Determinant of matrix…

Q: 1 2-1 2 | Let A= 5 1 4 0, then: 0 0 0 Select one: O a. A is 2x4 matrix b. A is 12 matrix C. A is 4x3…

A:

Q: (a) Find all 2 x 2 symmetric matrices that commute with the matrix B= -3 (b) Find all 2 x 2 skew…

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Q: 1 -1 2 a) Find the matrix A if (3A) =0 2 0 3 -1 4

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Q: 6 1 7 0 is similar to the matrix B= [03. The matrix A= 3 4 Select one: O True O False

A: we see that                        det(A) = 21 = det(B)      and      trace(A) = trace(B) Thus, the…

Q: 6 1 The matrix A =| 3 4 7 0 is similar to the matrix B= 0 3 Select one: O True False

A:

Q: [-6 a a Matrix A= 2 -1 0 is invertible iff -2 1 5 (a) a±3 (b) a +0 (c) a±5

A: NOTE: Refresh your page if you can't see any equations. . the matrix is invertible iff the…

Q: 2 3 -1 Consider the matrix A = 1 1 2|. Find the inverse of A, if -1 0 1 possible.

A:

Q: :Matrix A is 20 120 200 A =| 120 10 150 200 150 30 Diagonal Matrixo Lower Triangle o Matrix skew -…

A: This is a matrix problem

Q: 3. 2 -3 The matrix product 4 1 1

A: Follow the next step for explanation.

Q: 6 1 70 is similar to the matrix B= 0 3 The matrix A = 3 4 Select one: O True O False

A: Similar Matrix: If two square matrices are similar then they have the same determinants.

Q: 1 3 (b) If possible, express A = 2 3 product of elementary matrices.. as a

A: The given matrix is A=1323.

Q: [1 -2 -1] with |4|=-7. Let A= 0 1 |3 -1 0 Matrix B is obtained by modifying matrix A, with B+ A.…

A: The detailed solution is as follows below:

Q: 0. 1 -3 4 4 3 and C = -1 -4 -2 Let A = - 3 - 4 B = -3 2 -2 - 2 3 1 4 Determine which matrices can be…

A:

Q: 3 1 -1 a. Find the inverse matrix (A') if the matrix A = 2 -1 -4 3

A: Matrices

Q: Г2 т-3 х - 27 If A = 3 -2 -1 is a symmetric matrix then x 4 -1 -5 1. 3 2. 6 3. 8 4. 0

A:

Q: 1 -1 3 1 -2 0 -1 5 Find the product of matrices A = 2 and B = -3 -2

A:

Q: 3 0 0] A = |-2 1 0 0 3] 4 D is a diagonal matrix if the matrix is diagonalizable. Find an invertible…

A: Find eigenvalues and eigenvectors of the given matrix to solve it.

Q: 3 1 Find the inverse matrix (A) if the matrix A = 2 -1 -4 3

A:

Q: 1 а -2 (a) Find the values of a, b and c so that the matrix |3 b is symmetric. 7 а

A:

Q: 3 1 a. Find the inverse matrix (A") if the matrix A = 5 2 -1 -4 3

A: Given,          The matrix A=31-652-1-430

Q: [1 b+1] The value of b such that the det(A) = -1 is 8. Given the matrix A %3D 3. . Thus the matrix A…

A: The given matrix is A=1b+138 and detA=-1To find the value of b.

Q: Matrix A 3 · 12 21₁B = 1₁ -2] · f find AB

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: 1 3 -4 -3 Find the nullspace of the matrix A = 0 1 0 0 -3 1

A:

Q: [1 2 -4 For the matrix A =3 -2 1 and B = [3 1 2], find A. B" 1

A:

Q: 1 -2 0 and B 15 For matrices A=0 the matrix 3(4 +2B) is equal to? 3. 1 7 -2 2.

A: To compute  3(A^T+2B)

Q: 0 5 ] Let A diagonalizable matrix( [ 41 A=XDX, then X and D are: Select one: a. -5 1 -5 0 D= 4. 4.

A: Given  matrix A=0541we have to find  matrix X and D such  that A= XDX-1