Let 4 4 A = 3 3 -2 If possible, find an invertible matrix P so that D = P-'AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P = D = Is A diagonalizable over R? choose v Be sure you can explain why or why not.

Q: 8) Show that the matrix -1 Bz 1-4 4 -3 -2 is idempotent.

A: Given…

Q: 6) If the matrix A is symmetik, show that nen 2 A is also symmetric.

A:

Q: Let A and B be n × n row equivalent matrices. If A is invertible, then B cannot be invertible. TRUE…

A: False. We know the result: When A be an n×n matrix and if A is row equivalent to some invertible n×n…

Q: Diagonalize B, i.e. Find the invertible matrix P and diagonal matrix D satisfying B = PDP¯1. (Note:…

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Q: Suppose that A−1 and the LU factorization of A have already been determined. How many scalar…

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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: If A and C arę nxn invertible matrices and B is an nxn matrix, then

A: By Theorem we can say that

Q: Let D= A = If possible, find an invertible matrix P so that D = P¹ AP is a diagonal matrix. If it is…

A:

Q: Find 6×6 matrix a, that satisfies the stated condition. Make your answers as general as possible by…

A: Let the genral 6*6 matrix is given by…

Q: 2 -3 -2 3 1 2 -2 -1 3 3 [ 3 2 -2

A: The given matrix is  A=  2-3-2   3  1   2-2   0-1   3   3   2   3   2   2-2

Q: 2 -3 0 A = 5 2 1 -1 1

A: A-1=1|A|(adj. A)=1|A|A11A21A31A12A22A32A13A23A33 where Aij is the cofactor of aij.

Q: When the inverse of a matrix is multiplied by the original matrix, it produces the: A. matrix of…

A:

Q: Show that any nX n matrix can be written as the sum of a symmetric matrix and a skew-symmetric…

A: To show that any n x n matrix can be written as the sum of a symmetric matrix and a skew-symmetric…

Q: *New Text Document (2).txt - Notepad Edit Format View Help Ln 84, Col 1 100% Windows (CRLF) UTF-8…

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Q: 2) If IAI = 3, where A is a 3x3 matrix, caleulate the folowing: 2a) det ( ZA) 26) det (A) 2c) det (…

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Q: Suppose A is a 3xn matrix whose columns span R3. Explain how to construct an nx3 matrix D such that…

A: Please check step 2 for the solution.

Q: Let A be an mtimes×n matrix and let B be an ntimes×p matrix. If the first row of A consists only of​…

A:

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: Show that any matrix of size 3 by 3, can be written as the sum of two invertible matrices, that is,…

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Q: The product of two invertible matrices is always non-zero. Select one: OTrue

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Q: Suppose A is a 4 × 4 coefficient matrix If possible, find the entries of a matrix T that perform the…

A:

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: 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: Suppose A is invertible and you exchange its first two rows to reach B. Is the new matrix B…

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Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

A: Given: The trace of a matrix is equal to 10 and the matrix is an identity matrix.   To determine:…

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: Find the column space of the 10 × 20 matrix A if the system Ax = b is solvable for every b. Justify…

A: Note that : Ax = b has a solution if b lie in column space of A.

Q: Two 2 x 2 invertible matrices can have a matrix sum that is not invertible.Determine whether the…

A: ''Two 2 x 2 invertible matrices can have a matrix sum that is not invertible''. We have to determine…

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: The column space of a matrix is the set of solutions of Ax=b.Mark this statment as True or False.…

A: The column space of a matrix A is the set having all of the linear combinations of columns of matrix…

Q: Let A be 5x1 matrix. Knowing that Rank (A) = 2. Then Nullity(A) is equal to: O 2 ONone of these

A: The solution is given below in the next step:

Q: In general, it is difficult to show that two matrices are similar.However, if two similar matrices…

A: Given two n × n matrices, A and B, we say that A is similar to B if there exists an invertible n × n…

Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: Let A be an m × n matrix. Explain why the matrix multiplications ATA and AAT are possible.

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Q: When a square matrix A is "idempotent" we know A = A2. Determine what values det A can take on and…

A: It can be solve using the product property of determinant

Q: s described by the equation Systam x= Ax where A = -1 -2 1 -H Assuming madrenQ on the stability of…

A: Given matrix : A=-1-21-4 Also, Q is a unit matrix. Thus, Q=1001 Given equation: ATP+PA=-Q Here,…

Q: Solve the Matrix Equation XAB-BAX=X with A,B,X are nxn matrix with A,X are invetribles.

A: The given matrix equation is, XAB-BAX=X where A, B and X are n×n matrices with A and X invertible.

Q: If the equation Ax = 0 has only the trivial.solution, then A is row equivalent to the nxn identity…

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Q: find the given matrix is Identity matrix if not find determinant of the matrix without ing NumPy…

A: For Identity matrix, the diagonal element of the matrix should be 1 so its determinant always 1 and…

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

A:

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

A: The solution is given as

Q: Suppose A is a 4 × 4 coefficient matrix If possible, find the entries of a matrix T that perform the…

A: Given that A is a 4×4 co-efficient matrix.We have to find T (matrix), whereA→(3R4+R4)AT, which means…

Q: Let A be a 5 × 4 matrix. Can the equation Ax=b be consistent for all b in ℝ5 ? Explain, please. Can…

A: Given that, A is a 5×4 matrix. Consider the equation, Ax=b. Here x is a 4×1 matrix with n=4 unknowns…

Q: A and B are two sequar upper triangular matrix then ove that the JAB| is equal the product of its…

A: Topic:- matrix algebra

Q: Find an invertible matrix P and a diagonal matrix D so that A = PDP 1, Enter your answer as an…

A: Solution: Here The eigenvalues of a matrix A are: 3, -1 The eigenvectors are: -1-1,  12…

Q: USE A MATRIX-DETEN MINATE METHOD TU SOLUE ... **gy こ4 (SOLUE fOR fiRst) ナ

A: Given, So, we can write the given equation as, The co-efficient matrix of the given system is,

Q: Please show how to determine whether matrix A is diagonalizable: If possible, find an invertible P…

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Q: Find out two examples for each types of matrices and write down it's order also

A: