Enter a 3 x 3 skew-symmetric matrix A that has entries a12 = 1, a13 = 3, and a32 = 4.

Q: Enter a 3 x 3 symmetric matrix A that has entries a11 = 0, a2 = 2, a33 = 5, a21 = 3, a31 = 4, and…

A: a symmetric matrix is a square matrix that is equal to its transpose.

Q: Find a matrix P that diagonalizes A, and check your work by computing P-1AP. -2 A = | 0 3 3

A:

Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

A:

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

A:

Q: determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: This matrix is in row echelon form because the leading entry is 1 and each leading entry in a column…

Q: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

A:

Q: Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is…

A: Given matrix is

Q: find an LU factorization of the given matrix.

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Q: Let A be an m×n matrix and let B be an n×p matrix. Show that if the columns of B are linearly​…

A:

Q: Find a matrix P that diagonalizes A- 6.

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

Q: Find the echelon form of this augmented matrix, written so there are 1's on the diagonal. 1 -2 100…

A:

Q: Suppose that A is an m x n matrix and B is an n x m matrix. Then the equation (AB) = ATBT is always…

A: Multiplication Property of transpose : We know that the transpose of a produce of two matrices will…

Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: Calculate the rank of each matrix by converting it into canonical form…

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Q: Give an example of a nonzero 2 X 2 matrix A such that A2=O

A:

Q: Suppose A is a 5 x 5 nonsingular matrix, and Bis the result of exchanging the second and fourth rows…

A: If a matrix A is non-singular then all the rows and all the columns  of A are linearly independent.

Q: If A is a square matrix, then Ker(A) = Ker(RREF). True or false?

A: If A is aquare matrix then we have to check Ker(A) =Ker(RREF(A))

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

A: Solution

Q: Find a 3 x 3 matrix A such that 1 -5 A 3 A 1 -3 and -2 A 4 1 -5 A = 3. ||

A:

Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: 001010100

Q: Determine whether the given matrix is in row echelon form. If it is, state whether it is also in…

A: Echelon form of a matrix :       (i)   Any rows of all zeros are below any other non zero rows.…

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

A:

Q: Calculate the rank of each matrix by converting it into canonical form…

A:

Q: Enter a 3 x 3 symmetric matrix A that has entries a1 = 1, a2 = 5, a33 = 4, a12 = 0, a31 = 3, and a A…

A: A square matrix A is called a symmetric matrix if A=AT, i.e. a matrix is equal to it's transpose If…

Q: Find an SVD of the indicated matrix.

A: Consider the given matrix: Here the objective is to find the SVD (singular value decomposition) of…

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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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: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the - first…

A: Given that: det(A)=2

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: Find the adjoint of square matrix (A] [A] = 3 -2 3 -4

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Q: Determine if the columns of the given matrix form a linearly dependent set. 3 4 3 1 3 -2 0 -1 -7 5.…

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Q: If a 4x7 matrix A has rank 2, find nullity A, rank A, and rank A. nullity A =| rank A = rank AT

A: The given question has been solved in step 2.

Q: Let A be an n ×n matrix and B= A + I, where / is the identity matrix, then it is possible for A and…

A:

Q: If A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent.

A: In A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent. You have 5 column…

Q: Find a matrix that Diagonalize A and check your work by computing P-1AP. [2 0 -2 A=0 3

A:

Q: Enter a 3 x 3 symmetric matrix A that has entries a11 = 1, a22 = 5, a33 = 4, a12 = 3, a13 = 2, and =…

A: Given A is 3×3 Symmetric matrix with entries a11=1 , a22=5 , a33=4 , a12=3a13=2 and a32=0.We know…

Q: If the __________ of a matrix is p× q, then p represents the number of __________ and q represents…

A: If the order of a matrix is p x q, then p represents the number of rows and q represents the number…

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 an elementary matrix E that corresponds to the row operation of adding – 4 times Row 1 to Row…

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Q: If A is a skew-symmetric matrix of order 5 then adj(adj(A5x5)) =

A:

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: Find the (1,4)-entry of the reduced row echelon form of the following matrix:

A: Follow the procedure given below.

Q: If A is an n × n matrix, what are the entries on the main diagonal of A − AT ? Justify your answer.

A: Given A is an n x n matrix, we need to find the entries on the main diagonal of A- AT. Consider a 2…

Q: Find the nullspace of the matrix given as; A=[1 -2 1; 2 -3 5; 1 0 7]

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Q: Consider an n x p matrix A and a p x m matrix B. If ker(A)-im(B), what can you say about the produet…

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Q: Find the 2 x 2 matrix A, if 2 (A" – 212x2)-

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Q: If A is a 3x5 matrix, what is the largest possible value for its Rank? O 3

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Q: If A is a 2 x 2 skew symmetric matrix, must det(A) = 0?

A: we have a 2×2 skew symmetric matrix.

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.