Choose the correct: If the matrix A is both symmetric and skew symmetric, then(A) A is a diagonal matrix.                      (B) A is a zero matrix(C) A is a square matrix                        (D) None of these

Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: What does it mean to say that A is a matrix with dimensionm  n?

A: A matrix is a rectangular array of elements arranged in rows and columns. The size of the matrix is…

Q: What does it mean to say that A is a matrix with dimension m x n?

A: Our Aim is to tell that what is meant by a matrix A which is havingdimension m×n.

Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: Diagonalize the matrix 1 -1 A = -2 3 -1 -2 In other words, you need to find a diagonal matrix D and…

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Q: 4 For Exercise, perform the elementary row operations on the matrix A = | 1 5 -3 R3 →R3

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

A: See the solution.

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: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: MAM™ is similar to A if and only if M is O a. Symmetric matrix O b. Invertible matrix O c Orthogonal…

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Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Give an example of a nonzero 3 x 3 diagonal matrix A. A =

A: Diagonal Matrix: In linear algebra, a diagonal matrix is a matrix in which the entries outside the…

Q: egrees of freedom for a 4 * 3 matrix are 12 True or False

A: Given that   4 * 3 matrix   Number of rows (r)  = 4 Number of column (c) = 3   We know that  Degrees…

Q: 2.4. Explain why: (a) If the third column of B is zero, then for any matrix A, the third column of…

A: Matrix: A matrix is a rectangular array represented in the form of or Here A represents the matrix…

Q: Choose the correct answer :If A, B are symmetric matrices of same order, then AB – BA is a(A) Skew…

A: Choose the correct option.

Q: Let A be a 5×4 matrix. Explain why the equation Ax = b cannot be consistent for all b in…

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Q: True or False? Suppose that A is any n x m or n xn matrix, then the matrix A'A will be the transpose…

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Q: Consider a Matrix A that is a 7 x 2 matrix and B is a 2 x 7 matrix. The Matrix AB will have how many…

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Q: An m×n upper triangular matrix is one whose entries below the main diagonal are​ zeros, as is shown…

A: Upper triangular matrices and their inverses.

Q: Diagonalize the matrix 1 0 -1 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix…

A: Click to see the answer

Q: Consider a Matrix A that is a 7 x 6 matrix and B is a 6 x 7 matrix.  The Matrix AB will have how…

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Q: Let A be a 4 × 4 real symmetric matrix witheigenvaluesλ1 = 1, λ2 = λ3 = λ4 = 0 What type of matrix…

A: Given, A is a 4×4 real symmetric matrix with eigenvalues 1, 0, 0, 0. Now we have to find what is the…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P−1AP is diagonal. (If not…

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Q: If A is 3 x 2 matrix and B is 2 x 3 matrix, then AB is always: a. Invertible matrix b. singular…

A: We know that rank ofAB is always less then or equal to min{rank(A), rank(B) }

Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: Suppose a 5 × 6 matrix A has four pivot columns. What is dim Nul A? Is Col A = ℝ4? Why or why not?

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Q: Consider the matrix. -3 5 C = %3D -2 4 What is the value of ? |C|- %3D

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Q: Determine the size of the matrix. 4 0 5 4 The size of the matrix isx

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Q: Diagonalize the matrix 1 0 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix D…

A: Click to see the answer

Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

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Q: (2) Suppose B is a 3x3 matrix and that a) Can you tell if B is invertible? Explain ) Can tell if B…

A: Given that B is a 3×3 matrix such that the characteristic equation is λ3-5λ2+6λ. We have to check…

Q: If a matrix A has 2 linearly independent columns, then dimRow(A)=2. True O False

A: Please find the solution in the below step

Q: Hi, what is the fastest way to find the cofactor matrix for a 3x3 matrix? The calculator allowed is…

A: Let us suppose that the given matrix is A:

Q: An mxn lower triangular matrix is one whose entries above the main diagonal are zeros, as is shown…

A: We solve this by definition of determinant, and digonal of matrices

Q: What is a matrix?

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

Q: What is a matrix?

A: What is a matrix?

Q: What is a matrix?

A: To explain: Matrix. Explanation: Matrix is defined as the rectangular arrays of numbers arrange in…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

Q: True or false? det1A2 is defined only for a square matrix A.

A: True or false. det A is defined only for a square matrix 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.