2. Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7

Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: State the dimension of the matrix. 7 1 30 08 10 6

A:

Q: Write down the name of the matrix according to the definition... 19. A"-0 20. AA'=I

A:

Q: Determine the rank of the matrix. [10-4 0 4] 01-3 0 4 00 ΟΙΙ 0 0 0 0 0 05 02

A:

Q: Find the LU-factorization of following matrix. 1 2 3 8 14 2 6 13 4 A =

A:

Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: Determine the diagonal matrix. 1 -3 -2 0 0 0 4 (1 3 5)

A:

Q: Find a matrix P that diagonalizes 10 0 A = 1 20 -3 5 2

A: Given matrix is A=100120-352 Since A is lower triangular matrix. So, eigenvalues of A are the…

Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: Perform the indicated matrix calculation. 4 0 - 1 3 4 - 8 4 1/3

A:

Q: Determine the matrix C = A + 3B if 12 -8 15 2 -1 1 A =-8 7 10 B =-1 4 6. | 15 10 - 5 1 6 3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: O.5 8 니 2 2 2구 9 3 1.5

A: Let  A = 1118422793  and  B = 0.521.5 We have to calculate  A-1B.

Q: find an LU factorization of the given matrix.

A:

Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: Determine the rank of the following matrix. 0 3 5 -4 0 1 0 0 -1

A:

Q: 9. 3 1 2 Transpose the matrix -2 -1 2 -1

A:

Q: 10 - 2 -5- -2 2 3. ST 3.

A:

Q: Find the rank of the matrix 3. 5 9 -3 5 -11-5 -3.

A:

Q: Let the matrix A be given by -11 1. -5 0 2. -1 3

A: Given matrix is 10-11 21-50 1-100 0003 To find:  Minor M11 Cofactor C11

Q: Diagonalize the following matrix. -5 – 12] 6 12 %3D D = P-1 = 00

A: Matrix  -5-12612

Q: 0 -1 -2 Put the following matrix into RREF: 1 1 2 -1

A:

Q: 15. Identify the size of each matrix. 3. 1 2 10 25 5 8. -2 6. -1 -4 -4 3 -6 6. 9. 3 7 10 -7 -8 10 1…

A:

Q: Find the transpose of the matrix. 0 1 7 2 -1 2 8 5.

A: Given that  The matrix is  To find the transpose of the matrix is

Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

A:

Q: Find the nullspace of the matrix. 1 2 -2 1 A = |3 - 5 4 1 2 3.

A:

Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

A:

Q: Find the LU-factorization of following matrix. 1 1 2 3 5 4 6 8 1 A =

A:

Q: Perform the indicated matrix calculation. 1 [6 0 1] 2 - 7 - 6

A:

Q: 4. 1 0 13 4 1 -2 15 -1

A: 100010001·2457134-215-17=1·2+0·7+0·-21·4+0·13+0·151·5+0·4+0·-170·2+1·7+0·-20·4+1·13+0·150·5+1·4+0·-1…

Q: 1. Determine the order of the matrix. 4 12 6 -8 -3 19 |-7 [A] 6x1 [B] 2x4 [C] 4x2 [D] 5x2

A: Here number of rows are 4 And number of columns are 2

Q: Explain m x n matrix?

A:

Q: Determine the dimension of the matrix. 3 -9 4 -8 -6 7 10 6 1

A:

Q: Find the adjoint of a matrix 1 -3 C = 2 -2 1 -1 .a -5 -6 -2 3 3 1 -6 -7 -2 .b -5 3 -6 -6 3 -7 -2 1…

A:

Q: Find the rank of the following matrix 2 6 2 -4 -6 2 8 A = -2 -8 -8 -14 -6 6 16 2 -14 -16

A:

Q: Find the product of the matrices. 1 1 2 3 1 3 4 5 6

A:

Q: Consider the matrix 2 2 A = 1 3 -1 -1 -2

A: Matrix power is obtained by multiplication matrix by itself 'n' times. For  A3 we have to multiply…

Q: Find the transpose of the matrix.   2 8 0 −1   7 2 −1 5

A:

Q: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

Q: Explain why the matrix is not diagonalizable.

A:

Q: Find the adjoint of a matrix 1 -3 C = 2 -2 1 0 –-1 3 - .a -5 -6 -2 | 3 3 1 -6 -7 -2 .b -5 3 -6 -6 3…

A:

Q: State the dimension of the matrix. 19. -9 5 6 0 0 2 14 5

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Diaganolize the following matrix. - 3 18 - 6 - 3 - 18 3

A:

Q: Determine the dimension of the matrix. 17 15 0 50 3 3 0 1 6 7

A:

Q: Find the matrix A if 4 1 A -1 3 2 3 1 4

A:

Q: Determine the rank of the following matrix. 0 2 3 -4 0 1 0 0 -1

A: rank of matrix

Q: Refer to the following matrix:  2     -5      9    -4 -11      2      6      7   6      0       2…

A:

Q: Diagonalize the following matrix. - 10 –24 2 4 P : D = p-1 –

A:

Q: Determine the rank of the following matrix: -2 3 -1 1 4 3 5 11 -6 5 -3 7 -10 4. 0 8 -8 -1 2 02

A: Try to form row echelon form of the given matrix  We know,   rank of matrix = number of non zero…

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.