If A is an m x p matrix and B is a p x n matrix, then their product AB will be?

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

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Q: For a nonsingular matrix A and a nonnegative integer p, show that (Ap)−1 = (A−1)p.

A: The objective is to show that AP-1=A-1P for a non singular matrix A and a non negative integer P

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

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Q: If X is an unknown matrix And A and B are known : [A]×[x]=[B]_ 5x5 5×1 [x] = ?

A: Given matrix A is of order 5×5 and matrix B of order 5×1 and A5×5×x=B5×1 We have to find the matrix…

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: If A and B are invertible 5x5 matrices, then A+B is also invertible. True False

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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​…

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Q: Let A be a 5x7 matrix, then the smallest possible dimension of Null(A) is:

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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: 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: determine whether the given matrix is defective or nondefective.

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Q: If A is 5x4 matrix, and rank(A) = 1, then its nullity is 3.

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Q: If A 0 is a square matrix, then A is invertible.

A: Given: Any square matrix A≠0 Assertion: If A≠0 is a square matrix, then A is invertible. To prove:…

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: (1) Let A be a px5 matrix, B be amx 4 matrix. If AB is a 7xq matrix, then p= , m=_

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Q: If A=XDX−1 where  X is a diagonalizing matrix of A, then 7X is also a diagonalizing matrix of A.…

A: Given: Where, X is a diagonal matrix of A, then 7X is also diagonalizing matrix of A. To determine:…

Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

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Q: If C is a matrix of 6 x 6 and the matrix equation C x = v is consistent for every v in R°, is it…

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Q: Suppose that A is an 11 x 4 matrix, and that B is the rref of A. If the number of leading columns of…

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Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

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Q: If A is an m X n matrix and B is an n x p matrix, matrix. To find in matrix A then AB is defined as…

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Q: If A is a m × n matrix and B is a n × p matrix then AB is a m × p matrix. True or False

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Q: If A is an m x 5 matrix, B is a 6 × q matrix, C is an m × q matrix, and 8A + B - 1/2C is a  6 x 5…

A: Topic:- matrix algebra

Q: If A and B are n x n matrices, and vector v is in the image of both A and B, then i must be in the…

A: True or false.

Q: Let A be a 3 x 10 matrix, and let B be m x n. Suppose that B'A' is a 21 x 3 matrix. What is the…

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Q: If the dimension of matrix A is mxn, and matrix B is nx p, then AB is? (А) mxp B pxn c) nxm D) рхр

A: If the dimension of matrix A is M×N And matrix B is N×P

Q: If A is an invertible square matrix that is row equivalent to matrix B , then both A and B are row…

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Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

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Q: Suppose A is a 5x7 matrix and nullity (A)=3, Then the dimension of the row space of A is IS

A: Given, A is 5*7 matrix and nullity(A) = 3 We have to find dimension of row space of A

Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

A:

Q: If AB is a 4 x 2 matrix and B is a 1 × 2 matrix, then the size of matrix A is

A: We can multiply two matrices only when the number of column in the first matrix must be equal to…

Q: Given that A is a 4 × 2 matrix and B is a 2 × 1 matrix, a. Is AB defined? If so, what is the order…

A: a) A is a 4 × 2 matrix and B is a 2 × 1 matrix Since number of coulmns of A=number of rows of BSo AB…

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

A: Skew Symmetric Matrix: If the transpose of a matrix A is equal to the negative of itself then the…

Q: If 4 [a] is a 3x3 matrix, such that ay i (2m-j) then the diagonal elements are

A:

Q: Suppose that A is a 3×3 matrix and det (A) = -4. What is det (4A)?

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: If the first two rows of a matrix A are equal and the matrix product AB is defined, then the first…

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Q: If A and B are nXn matrices, then (AB)²=A²B? A True

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Q: If A is a square matrix, then A2 is defined. TRUE OR FALSE

A: For matrix multiplication to be defined, the number of columns in the first matrix must be equal to…

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 A is a matrix in Rmxn with {()} -5 C(A) = span 2 %3D -2 what is m?

A: If A is a matrix in R^(m×n) then A is a linear transformation form n to m

Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Given A, B and C are n×n invertible matrices.

Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

A:

Q: If A is what a matrix satis fying A3= A about det A7 %3D can you say

A: We have to find determinants

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: 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 4 x 15 matrix, what is the largest rank possible? Your Answer:

A: If A is a ,4 * 15 matrix   Then largest possible rank of A =, min { 4 , 15 }

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.