Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the - first row of A is added to the second row of A,

Q: Let A be 2 x 2 matrix, if the matrix B results from A by adding 3 times the first row of A to the…

A: The objective is to find out the correct option.

Q: find the transpose of the matrix A C = 3 5 2

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Q: [4 -2] Let A be the matrix 1 Compute A50 1

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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: Find conditions on a, b, c, and d such that B = as attached commutes with every 2X2 matrix

A: B=abcd Let A=uvxw BA=au+bxav+bwcu+dxcv+dwAB=ua+vcub+vdxa+wcxb+wd Let BA=AB…

Q: If A is an 3× 4 matrix and the nullity of A equals 2, find the rank of A .

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Q: Find x such that the matrix is equal to its own inverse. A = -5 -6

A: Given A=6X-5-6

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

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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: nd an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D such that P-¹ AP = D, and determine…

A: To solve the following problem on diagonalization given eigen values and eigen vectors.

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: Show that AB and BA are not equal for the matrices

A: Given: The matrices are given as, Finding the value of AB by using matrix multiplication,

Q: Let A be a 3 x 5 matrix in which not all entries are zero. (a) What size must the matrix B be for AB…

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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: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

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Q: Let A be an n × n matrix in which the entries of each row sum to zero. Find ∣A∣.

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Q: Find x such that the matrix is equal to its own inverse. A = -2 -5

A: Topic = Matrices

Q: Let A be an n × n matrix and let B = A + I. Is it possible for A and B to be similar? Explain.

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Q: Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by the following row…

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Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

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Q: If A is a square matrix whose diagonal entries are all zero, then detA = 0.

A: Given information: A is a square matrix whose diagonal entries are all zero.

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: Let A be the matrix a- [}] 3 1 A = Which answer is correct for the A ?

A: GivenA=3121

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

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Q: Let A be an nxn matrix and B = A+1, where I is the identity matrix, then it is possible for A and B…

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

Q: Explain why the columns of an n×n matrix A span R^n when A is invertible.

A: Consider, a matrix A of order n, which is a invertible matrix.Since, the set of vectors

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

A: Two matrix can only be miltiplied if number of column of first matrix is equal to number of row of…

Q: Given the matrix 1

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

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Q: Let A and B be square matrices of order 3 such that |A-| = x + 7 with x + -7 and |A * A" | = . What…

A: A and B are square matrices. Therefore, det(AB)=det(A).det(B) det(A)=det((A)T) We will use these…

Q: Find x such that the matrix is equal to its own inverse.

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Q: Find all a > 0 and B>0 so that the matrix 3 2 B A A =| a 5 B 1 is strictly diagonally dominant.

A: The given matrix,A=32βα5β21α

Q: Find the matrix B such that 2AT+3B=0.

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Q: .

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Q: : Consider the following matrix A, and let B = A¬. Find b31, b32, and b33. (i.e., find the entries…

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Q: Suppose that A is an n × n matrix satisfying the equation A4 + 2A2 − 3A − I = O , where I is the…

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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: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

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Q: Let A, B, C be n × n matrices and assume that A is invertible. Solve the equation A(B + X) = C for…

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

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Q: Suppose A is a matrix of order p × q and B is a matrix of order q × r, then illustrate the order of…

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Show that A is similar to B by showing that A and B are similar to the same diagonal matrix, where…

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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.