-31 A: 2 -1 .

Q: Give an example of a 3 x 3 skew-symmetric matrix A that is not diagonal. A =

A:

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

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: What is a matrix?

A: Definition :                           A rectangular array of m × n numbers ( real or…

Q: (d) Let C be an nXn matrix. Explain why if the echelon form of C has at least one zero row, then C…

A: To prove, if matrix C has at least one zero row then the matrix is not invertible.

Q: The following augmented matrices represent different systems of linear equations.

A:

Q: Explain why the matrix A + C does not exist.

A:

Q: An identity matrix is represented by. . O a. H-H O b. HH-H HH-1

A:

Q: Consider the following matrix A, where -2 4 -2 -4 A = 2 -6 -3 1 -3 8. 2 -3

A:

Q: why is the matrix like that?

A:

Q: 1 What value of x satisfies the matrix equation -2

A: Number of Multiple questions as per our company guidelines we are supposed to answer only first…

Q: Give an example of a 3 x 3 lower triangular matrix A that is not diagonal. A =

A: We write the 3x3 lower triangular matrix which is not diagonal

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: What is the result of this matrix multiplication? OA –13] 19 OB. -18 OD. 181

A: Given that: 4-1-23×-25 We have to find the result.

Q: Determine the cofactor of a13 in the matrix. 2 -4 A =5 4 4 -4

A:

Q: What is the rank of the matrix?

A:

Q: Disprove that the rank of a matrix is equal to the number of nonzero rows.

A:

Q: ? Select a suitable option that would complete the figure matrix. 3.

A: We will use logic to find what figure comes here in the blank. To do this, we shall figure out the…

Q: Is it possible for a matrix to be both upper triangular and lower triangular? Oa. Yes O b. No

A: Solution

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

Q: What do you mean by Matrix trace?

A:

Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: In plain-speak, what is a matrix?

A: Definition of matrix helps to get the answer to the problem. There is a wide application of matrix…

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: If A-1 =
2 71 3, what is the matrix A?

A: Its given that: We need to find the original matrix A.

Q: Illustrate the Skew-symmetric matrix ?

A:

Q: What is trace of matrix (2A+3B)

A: Find the trace of the matrix(2A+3B)

Q: Diaganolize the following matrix. 0 0 -1 -1 0 0 3

A:

Q: Enter a 3 x 3 symmetric matrix A that has entries au = 5, az2 = 4, a33 = 0, a12 = 2, a3ı = 1, and…

A:

Q: Use the method of Example 6 to compute the matrix A10, where 1 0 A = -3 2

A: The given matrix is A=10-32. Observe that, A2=10-32 10-32=10-94=10-3·22-122A3=10-94…

Q: Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b.

A: Given ,

Q: Consider matrix A. -3 5 2 A = 8 -1 3 |

A: A=-3528-13To find the elementary row operation -3R1+4R2

Q: a) Let A be a 3 x 5 matrix

A: For the multiplication of two matrix the number of columns in first matrix is equal to the number of…

Q: Explain why the matrix is not diagonalizable.

A:

Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following is a lower triangular matrix?

A: GIVEN - MATRICES ARE GIVEN TO FIND - LOWER TRIANGULAR MATRIX  CONCEPT - IN LOWER TRIANGULAR MATRIX…

Q: If A is a skew symmetric matrix, what type of matrix is AT ? Justify your answer.

A: If A is a skew symmetric matrix, then our aim is to tell the type of AT matrix?

Q: Consider the matrix A = 0 o 0 0 -2

A:

Q: Consider the matrix A =

A: Given, the matrix                       A=420040004

Q: in matrix equation [A] {X} = {R}. %3D (2)

A: INTRODUCTION: Eigenvalues are a subset of scalars that are associated with a system of linear…

Q: Give the rank and the nullity of the matrix. 20 -2 A = rank(A) = nullity(A) =

A:

Q: 1 Find the condition number of matrix -2 -3 4

A:

Q: Consider the matrix 2 1 A 1 -2 2 1 -2 2 | (a) Is A symmetric? Why or why not? (b) Is A orthogonal?…

A:

Q: Give an example of a 4 by 4 matrix A, which is not symmetric, however A is symmetric.

A: A square matrix is said to be symmetric if it is symmetric about the main diagonal.

Q: Find the LU- Factorization of the matrix A below 1 -2 3 A = 2 1 -4 4 1-4 6. 5 -2

A: Given 21-1-20321-441-465-2

Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: Give two examples of a matrix which is its own inverse (that is, where ?^-1 = ?)

A:

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.