A = 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: If (AB)" = and A = find the matrix B. %3D

A:

Q: et A be tx8 matrix. Knowing that Nullity (A) = 2. The %3D

A: In the given question, the concept of rank plus nullity theorem is applied. Rank plus Nullity…

Q: Please give me an example of a 3 x 3 (or larger) matrix A, in which you answer the following: Is A…

A: Diagonalizable matrix.

Q: FIND THE FUNDAMENTAL MATRIX AS WELL AS THE FUND AMENTAR MATRIX ø (6)= I %3D SATISEYING x' = 2 -5 -2

A: Fundamental matrix is formed with linearly independent solution sets of the system. These linearly…

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

A: Given…

Q: Determine if the matrix, M is diagonalizable. Show your complete solution. 25

A:

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

A:

Q: Verify that if r < s, then rows rand s of a matrix can be interchanged by performing 2(s - r) - 1…

A:

Q: Let A be the matrix Compute A50

A:

Q: Let A be a 5×5 matrix such that Ax​=b has a solution for every b in R5. Is it possible for Ax​=0 to…

A: Here, Ax=b has a solution for every b in R5

Q: The 2 ´ 2 identity matrix is:

A: To find:

Q: f A is 3×3 nonsingular matrix such that AAT=ATA and B=A-1AT then BBT=

A: Given that: A is 3x3 non singular matrix and AAT=ATA and B=A-1AT

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

A: By Theorem we can say that

Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

A:

Q: Suppose AB = I, . Show that the equation Bx=0 has only trivial solution. Explain why the matrix not…

A: Suppose that AB=In (then x n  identity matrix). The objective is to show that, the equation Bx=0…

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: Is the matrix diagonalizable? If yes, find diagonal matrix D and regular matrix P such that AP = PD.…

A: Yes, Given Matrix is diagnolizable.

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…

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: If the columns of a 2 x 2 matrix are linearly dependent, what happens to space under the associated…

A: This question is related to matrices,  we will solve it using given information.

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 the matrix; is singular

A:

Q: If A = (a,) is a matrix of order 5 x 3 and 2 for all / and i, write down A. (Enter NONE in any…

A: Since A is a matrix of order 5x3. Means there are 5 rows and 3 columns.  So, in aij , i is from 1 to…

Q: etermine if the matrix is orthogonal. If it is orthogonal then find its inv 2

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: Determine all n x n matrices that are similar to I. Let A be ann x n matrix similar to I,. Then…

A:

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: Suppose that A, B, C and D are n × n matrices satisfying the equation ABC = D. Show that if DA is…

A: Given:Suppose that A,B,C and D are n×n matrices ABC=DInvertible matrix:A square matix is invertible…

Q: A matrix that is both upper and lower. triangular is called diagonal ylgn ihi

A: Upper and lower triagular 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: 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: If the columns of a 2 x 2 matrix are linearly dependent, what happens to space under the associated…

A: Let a 2x2 matrix be A  The columns of A are linearly dependent.

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: Answer the following matrix through Jacobi Iteration Method. consider the equation if it is…

A:

Q: what is the Dim of a matrix, like if there is Matrix A, what is Dim(A)? Can i have example too?

A:

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: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A:

Q: Find h and k, consistent: which makes matrix Gud Suo = k

A: We have to find the values of h and k for which the given system is consistent.…

Q: 4 For A= calculate A by using Adjoint Matrix Method. (Do not use any other method) 3 5

A:

Q: 10 choose a,b,c,d

A: 1. Option a is wrong as the columns of D are LI hence solution will be unique if exists. 2. Option b…

Q: Let A be an m xn matrix. Explain why the matrix ATA is symmetric.

A: A square matrix is symmetric if  A^T = A

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: Find the rank of matrix using Daussian elemination  method. A=[1 -1  2 , -3  3  -6 , 0  1  2]

A: NOTE: It is not "Daussian elemination  method", it is "Gaussian elemination  method".

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: 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: Prove: NS(A) = NS(ATA) for any matrix A. You have actually done this already in the homework, but…

A:

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

A: