1 -2 Diagonalize the matrix B 3 -4 ||

Q: -2 1 2 -3 A = and B = 1 0 3 -2 Find a matrix X satisfying the matrix equation 5A + X = 3B. X =

A: There are given two matrix A and B We have to find a matrix X satisfying the matrix equation 5A + X…

Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: matrix 4 0 2 7 6 3 1 5 A = and B 3 7 1 5 then A.B and (A.B)" = ...

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: 0-1 *b. Construct a matrix whose column space contains1 and 1 and whose nullspace contains and or…

A: THE REQUIRED MATRIX IS A

Q: -1 2 1 -2 and B = (-3 3 4 -2 2 2 -3 4 5. Find the quotient matrix A/B if A = 3 4 %3D -4 2 3 3/

A: The given matrices are: To find the quotient matrix A/B means, multiply matrix A with the inverse…

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: -1 10 2 4 5 2 10 coeFFICient of matrix (A) 2 3 -5 2

A:

Q: 3 - 2 - 5 1 Find the rank of the matrix 3 5 - 12 -1 2) 2.

A: Rank of matrix: Number of linearly independent column represent rank of matrix. Given matrix is:…

Q: 2 -1 2 A=(² -¹), B=(5₂²) 3 0 4 -1 2. 3X + B = 2A; where: Determine matrix X. A=|

A: Matrix equation

Q: 1 -4 8. Do the columns of the matrix A = 3 -6 span R? -5 -1 8.

A:

Q: 3 -1] 2 -3 -4 2 4. The matrix product 5 1 1.

A: Given problem Given that   We know that Condition to multiply 2 matrices :   Two matrices are only…

Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: 2 -1 5 2 A-(²3 -3²), B- (₁₂²) 0 4 -1, 2. 3X + B = 2A; where: Determine matrix X. A=|

A:

Q: 3 -1] [2 -3 -4 The matrix product 2 4 ? 1 5 1.

A: As no particular operation is mentioned the matrix product is the standard matrix product.

Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

A:

Q: fir the matrix           4          1 A=              2         3 if g (x)=x2+4+2 what is the answer…

A: Given matrix is Firstly, we find matrix A2 as follows

Q: 1. Write a linear equation using matrices that passes through the points (-2, -1), (2,5) and (4, 8)

A: Aim: To find the linear equation of line using matrices. The line is passing through -2,-1, 2,5,…

Q: (3 11 3 Write the matrix as the sum of one symmetric and one inverse symmetric matrix. X = -4 -3 \2

A: The given matrix is: X=31130-4-3261

Q: -3 -1 Find all a so that the matrix A = 1 -1 is positive -1 4

A: Matrix A is position if and only if all of the leading principal minors are positive.    Then follow…

Q: -3 -2 -3 17. Find the inverse of the matrix A= 5 3 5 2 1 1

A: Given A=-3-2-3535211 The inverse of A is given by A-1=1Aadj A A=-3(3-5)-(-2)(5-10)-3(5-6)…

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

A:

Q: 1 1 -3 Is the matrix A = 1 5 -2 positively definite? Justify your answer. -3 -2

A: Sylvester's criterion states that a Hermitian matrix A is positive-definite if and only if all the…

Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: f the matrix 4 3 7 0 51 ¹2 + 3 8 10 8 102

A: Determinant=1757

Q: – 3 -2 – 3 inverse of the matrix A = 5 5 1 3. 1. 2.

A: The given matrix is A=-3-2-3535211. Evaluate the determinant of the given matrix as follows. det…

Q: -2 -1 -3 1 Determine the rank of the matrix 1 0 1 -1

A: Rank of the matrix

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

A:

Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

A:

Q: 5 3 3. Given the matrix C = find a matrix X such that 2 2 (b) XС + X —I (c) (X" – 21)-1 =C

A: To solve the following matrices

Q: [2 4 6 Determine the inverse of the matrix A= |2 -3 -4 [3 4

A: We can use the Gauss Jordan elimination numerical method to find the inverse of the matrix.

Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: 0 -2 3 2 3 Diagonalise the matrix

A:

Q: 3 -4 Find the dimension of the matrix 2 4 -2 -5]

A: In the matrix Total number of  rows = 3 Total number of columns = 2

Q: (7 - x) (x – 3)] Q3 Given matrix = ,determine values of x for which %3D |A| = 0. %3D 9.

A: Given:   To determine: Determinant of A

Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

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: Linear Algebra

A:

Q: 1 -2 4 For the matrix A = 2 0. 6. what is the value of |A|? %3D 3 7 3.

A: Given, A=1-24206373

Q: 2 -1 If the matrix 4. has no inverse find the value of k

A:

Q: 3. (30 points) Diagonalize the matrix A = 5 0 1 -1 05 0 0 0 0 4-3 0 -2 0-3 if possible.

A: 5000050000-30000-3

Q: 3 0 11o|: Justify ): Is the matrix a linear combination of and your answer. 0 2

A: A matrix is a linear combination of other matrices if it is equal to the sum of scalar product of…

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

A:

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: 5 -8 3 3 Let A = and B = Solve the matrix equation B- X= 3A for X. - 3 4 - 9 X =

A:

Q: -1 -1 2 -1 -2| is similar to a Jordan matrix. (2.) Determine whether A = 1 2

A: