Ruèstion 12 If A, B and C , are matrices of order 4x3, 2x2 and 3x2 respectively, then the order of the matrix (A.C).B is:

Q: The diagonal of a square matrix refers to all elements in a line from the top-left to the bottom-…

A: We have to prove that the number of elements in upper diagonal matrix is n(n+1)2. For , n=1 , 4×4 a…

Q: If the rank of an nxn matrix is n, then OA The matrix is invertible O B. The matrix is singular O C.…

A: Given nxn matrix with rank n

Q: -2 2 1 Determine if the matrix A = -4 4 2 is diagonalizable. If so, find an invertible matrix P and…

A: Given matrix is A=−221−4421−10. First, we have to find the eigenvalues of A=−221−4421−10. The…

Q: 1 x- 2 The values of x, y, and z that makes the matrix A = -1 a+y -3 -1 symmetric are

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Q: On any given day, a student is either healthy or ill. Of the students who are healthy today, 95…

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

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Q: A = What matrix defines T1 by multiplication

A: Given,       A=10-31

Q: A and B are n x n invertible matrices, then the equality (A +B) (A – B) = A? – B? always true.

A: No this false ,

Q: This matrix is a 0 0 4 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: The given matrix is                                     004040400.

Q: 4 0 -2 Diagonalize the matrix A if possible where A 2 5 4 0 0 5

A: An -matrix A is said to be diagonalizable if it can be written on the form. A=PDP^(-1) where D is a…

Q: Q7.If AB similar to BA, then (a) B may be invertible or not invertible ((bA and B must be invertible…

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. 7)…

Q: 1 1 -4 -2

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Q: For the matrix Determine whether or not A is diagonally dominant. Indicate why it is or why it isn't…

A: As this question contains multiple subpart so I am answering two subpart and for remaining post the…

Q: answer true if the statementis always true and false otherwise. In the case ofa true statement,…

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Q: -2 Find the matrix P such that P-'AP is diagonal matrix. -2 (c) Let A -2 3 -1 -1 3 6.

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Q: If A and B arenxn invertible matrices and C is an nXn matrix, then Select one: a. (ABC) = CTATB". b.…

A: The invertible matrices are that when they multiplied with their inverse gives identity matrix. Here…

Q: (a) Find an elementary matrix E such that EA = B; (b) Find an elementary matrix F such that F B =…

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Q: 1. A square matrix A is said to be symmetric if AT = A, and skew-symmetric if AT = -A Give an…

A: We have to find As per guideline we have to solve one question

Q: 1. (a) The matrix I = is called an matrix. (b) If A is a 2 x 2 matrix, then A X I = and IXA = (c) If…

A: We know that matrix representation of identity matrix is as follows: 10012×2 Here order of matrix is…

Q: 4) Given the matrix A= (! ), find all matrices B such that AB=BA. Check partic ular matrix B. your…

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Q: 10. Let A = and write A as the sum of a symmetric and skew-symmetric matrix. The skew-symmetric…

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Q: 1. (i) What is a rank of a matrix? (ii) Find the rank of the following matrix from an echelon matrix…

A: Use thw definition of rank and echelon form of matrix to solve this problem as in next step.

Q: The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen…

A: The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen…

Q: For an invertible matrix with an LU factorization A = LU, both L and U will be invertible and A -1 =…

A: Given, the LU factorization of a matrix A = LU where both L and U are invertible, We have to…

Q: Find an invertible matrix X and a diagonal matrix D such that X-1 AX = D. You don't need to compute…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. On the basis of the matrices given in Example 9, is the product BA defined? If so, calculate the…

A: Matrix multiplication: Let us consider two matrix A and B  of order m x n and p x q  then the matrix…

Q: The row echelon form of a matrix A is given by: -1 1 1 3 Then a basis for the row space of A is: O…

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Q: -1 let A,B are invertible matrices of size n, then (AB) Select one: -1-1 a. A"B" -1 b. A*B --1.-1 с.…

A: Let A,B are invertable matrices of size n then we find (AB)-1. We know that : AA-1 = I  ;here  'I'…

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

A: Here we find diagonal matrix D and invertible matrix P

Q: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: 3 4 The matrix is singular if a O a. a = 1 or a=2 or a = 4 O b. a = 3 or a = 5 or a = 0 O c. a = 6…

A: the given matrix is  A = α34αα5ααα

Q: A= 5 2 -1 53 -1 3 ○ 2

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Q: 1- Foi the following matrices present which are in tow-echelon form and not in row-echelon form. 4.…

A: We have to identify which of the  matrices is of row echelon firm and which are  not

Q: True or False. Let A be a sqaure matrix. Suppose A^3 is the identity matrix. Then A is the identity…

A: Consider the provided question, determine the A3 matrix.

Q: = A 2 3 2. Suppose that A is a 3 × 3 matrix that satisfies A (a) Show that the rank of A is at most…

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Q: A+B' +B A+A' +B -AB AB A +B A and B are square matrixes, A is a symmetric matrix and b is an inverse…

A: Option A( first option) is true.

Q: a) Show that, if A and B are both row-equivalent to some third matrix, then A B. We define an n x n…

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Q: 3. If A is an upper triangular matrix and B is a lower triangular matrix, then * ((A")-' – 2B)-' is…

A: Given: A is an upper triangular matrix B is a lower triangular matrix To find: The matrix-type of…

Q: (e) Suppose we just had the matrix A, but not the expression that was used to generate it. He we…

A: Suppose we just had the matrix A but not the expression that was used to generate it.

Q: a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why identification is…

A: Solution:-  a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why…

Q: @1? (full carifica bien) Suppose A is nun mabrix Caqure mabrix) prove that if bhe pivoba for the…

A: In the case of matrix algorithms, a pivot entry is usually required to be at least distinct from…

Q: 3. let A be a 3×3 matrix and Suppose that A, + 2a,- 30z=0 , uhere a,, a,and az are the colums of the…

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Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: Given: A=-6669-8-12-334 To find the invertible matrix A as a product of elementary matrix.

Q: 2. Finding a generating set for the column space of the matrix 1 1 -1 4] A = 2 1 -3 8 Is ū = in…

A: Given matrix is A=11-1421-38-204-2              (i) To find a generating set for the column space of…

Q: Consider two matrices H =2 and 1- : I = (a Find a 2 x 2 matrix G satisfying HG = I if possible. If…

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Q: Let a - .- 3 -1 21 A = [ 1.8 = ; -21 -31

A: The Addition or Subtraction of matrices is possible only when matrices are of same order.

Q: Given the matrix Select one: A = True False 2 0 0 0 when a = 1, A is a diagonal matrix and an upper…

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Q: Find a 2×2 matrix A for which E1 = span [1      and      E2 = span [2                     2]…

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