Give an example of two matrices A and B such that BA exists, but AB is undefined. Explain why your matrices have this property.

Q: if A and B are matrices and K is a scalar

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Q: Can you provide one image or figure of the hermitian matrix?

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Q: Due to what property, applied to the matrices below, do we know that A + (−A) = O?

A: A+-A=O

Q: Which of the matrices that follow are positive definite? Negative definite? Indefinite?

A: Consider the matrix

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

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Q: Explain why two similar matrices have the same rank.

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Q: Determine whether the statement, 'Two 2 X 2 invertible matrices can have a matrix sum that is not…

A: Statement: "Two 2 X 2 invertible matrices can have a matrix sum that is not invertible" The above…

Q: why is the matrix like that?

A:

Q: Is it possible to find a matrix in row echelon form whose column (iv) space is the same as that of…

A: (iv) No , it is not possible to find a matrix in row echelon form whose column space is same as that…

Q: Due to what property, applied to the matrices below, do we know that A + B = B + A?

A: Due to Commutative Property Of Addition of matrices, we can say that: A+B=B+A. Where, A,B,C are…

Q: If the RREF of All is || B, then AB is the identity matrix. A) True B False

A: Given: The row reduces echelon form is A:I is I:B. We have to check whether AB is the identity…

Q: Given a 2 by 2 matrix, how do i show that it is a linear combination of unitary matrices

A: See the attachment

Q: Explain this statement "The product AB of two matrices is defined only if the number of columns of A…

A: Let A is a mxn matrix  And N is a pxq matrix. While multiplying two matrices we multiply the rows of…

Q: Write down the necessary conditions for the matrix B2*2 (2 ∗ 2 matrix) to have an inverse matrix.

A: Necessary conditions for a 2*2 matrix to have an inverse matrix.

Q: Due to what property, applied to the matrices below, do we know that A + B is a matrix of the same…

A: Given- Due to what property, applied to the matrices below, do we know that A + B is a matrix of the…

Q: Let A and B be two square Matrices of the same Size such that A is not invertible (B may or not be…

A:

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

Q: Find the indicated Matrix, if possible. Show and explain your work. |ЗА +В

A: A=4-472B=-243-73A+B = 34-472+-243-7

Q: Let A2x3, B2x3, C2x2, E3x2, be matrices. Which of the following cannot be calculated?

A:

Q: Is the product of two elementary matrices always elementary? Explain.

A: To check product of two elementary matrices will be elementary or not.

Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

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Q: If A and B are row-equivalent matrices, then they must have the same rank. True False

A: Our guidelines for multiple questions, answer only first question  Answer = (8)  If matrices "A"…

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

A:

Q: If A is a nonsingular matrix whose inverse is 4 find A.

A: Given  The  A  is a nonsingular matrix  whose inverse is 2141.

Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: Which matrix is not similar to

A: Given that Matrix- X= 011112-12114, A=21-121011114,B=01111411-122, C=0-111-12121-14, D=100030003,…

Q: The sum of two skew-symmetric matrices is symmetric. Select one: True False

A: Solution in step 2

Q: Which of the matrices that follow are positive definite? Negative definite? Indefinite?

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Q: Explain m x n matrix?

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Q: Either diagonalize the matrix -2 0 1 B = 4 2 -3 -4 0 2 or show that B is not diagonalizable.

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Q: Give an example showing that the rank of the product of two matrices can be less than the rank of…

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Q: Explain why the matrix is not diagonalizable.

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Q: Find a family of the matrices that is similar to the matrix

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Q: Write a 4  6 matrix with distinct non-positive entries and find its transpose.

A: The objective is to write a 4×6 matrix with distinct non-positive entries and find its transpose .

Q: Explain the mandatory conditions for the addition of two matrices?

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Q: Explain why the matrix is not diagonalizable.

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Q: 3 - 3 1 /- 1

A:

Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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Q: . We can add (or subtract) two matrices only if they have thesame .

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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: Which of the following matrices is positive definite?

A:

Q: Determine whether the matrix B = is awesome or not. %3D

A: 7.1 To determine whether the matrix B is awesome or not. Where  B=i2−3232−i2and B is awesome if…

Q: Give an example of a 3× 3 diagonal matrix.

A:

Q: If A and B square matrices of the same order. then (A+ B)(A - B) is equal to

A: Last option is the correct option. (A+B)(A-B)=A2-B2+BA-AB

Q: What is an Inverse matrix?

A: Inverse matrix: If A is a square matrix of order m, and if there exists another square matrix B of…

Q: If A and B are invertible 2 × 2 matrices with nonnegative entries, then A + B must also be…

A: Let's take one counter example of the given conditions. That is A and B are invertible 2*2 matrices…

Q: what does it mean for two matrices to be similar? If A and B are similar, list all properties that…

A: The linear algebra is used for solving system of linear equations. The matrices can be formed by…

Q: A matrix which is not a square matrix is called a .6 Matrix

A: 6)  A matrix which is not a square matrix is called 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.