1 1 1' Let A be a 3x3 diagonalizable matrix, P 1 1 p-1- 0 1 2. 0 0 -2 D 0. If P-'AP = D then A2 is equal to 2. O None of these 4 0 0 3 1 2 4, O the above matrix (4 -3 4 -3 1 IN-IN-IN

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…

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Q: Find a (2x2) singular matrix A that maps (2, 4) into (3, 1).

A: Singular matrix mean its Determinant is equal to 'zero' .

Q: 2х + 3у + z %3 1 Зх + Зу + z %3 — 1 2x + 4y + z = 2 Put the equations in to an augmented matrix and…

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Q: b. Let's say the following matrix below is an orthonormal matrix 1 1 1 0 1 1 1 -1 -1 0 -1 0 01 -1 -1…

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Q: 1. Find the numerical rank with tolerance 0.9 of the matrix 3 2 A = -4 -5

A: Answer

Q: 2. For the matrix 2 2 -1 B -3 3 find its Pseduoinverse Bt and the 2-norm ||B*||2.

A: Given : B=212-1-1-3-13 To find : pseudoinverse B+ and the 2-norm ∥B+∥2

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: Determine whether th e given consump-tion matrix is productive.

A:

Q: X = 1, 1.4, 3.2, 5 Y = 1.2, 3, 2.8, 4 Directly fit the data by a single 3rd-order polynomial that…

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Q: Let A be a 10 × 10 matrix with cond∞(A) = 5×106.Suppose that the solution of a system Ax = b is…

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Q: a) Form the product PD and interpret its entries. b) Prediction of this population distribution…

A: The population dynamic is represented as D=0.80.20.30.7 and the population matrix is P=0.50.5. a)…

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A: Round-off errors depend on the fact that practically each number in a numerical computation must be…

Q: Let A be 7×9 matrix. Knowing that Rank (A) 3. Then Nullity(A) is equal to: ||

A: Rank nullity theorem Let T:V→W  be a linear transformation on finite dimensional vector spaces over…

Q: 17. Perform Gaussian Elimin ation on the matrix. [1 4 36 -1 -1 2 4. 0 4 -3-15 6,

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Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0…

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Q: Let A be Sxó matrix. Knowing that Nullity (A) = 2. Then Rank(A) is equal to: * Non

A: Introduction: According to the rank-nullity theorem, Rank(A)+nullity(A)=number of columns in A Where…

Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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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: Create an matrix as follows 1- Set up the matrix A with its elements in order, the first column…

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Q: Ife matrix A has orthonormal columns, then A'A = I

A: True :

Q: Find an SVD of the matrix. 7 1 A = 0 0 4 8 Give an SVD of matrix A below. A =

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Q: find the inuerse matrix of motrix 1 2.Use +he Laploce expan si on of the column. 4 0 1 6 0 3

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Q: Let A be an m x n matrix with rank m and B be ann x p matrix with rank n. Determine the rank of AB.…

A: to find the rank of AB.

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

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Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: 16- Find k for which the matrix below be Involutary matrix. 4 4 3 3 b) 3. -2, Leave blank *0 ఇ

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Q: 5. If xy + 2xu + 3xv + uv-| = 0, 2xy + 3yu – 2xv + 2uv + 2 = 0, ſind the Jacobian matrix [ ].

A: Let, F(u,v,x,y)=xy+2xv+3xv+uv-1Gu,v,x,y=2xy+3yu-2xv+2uv+2 By the chain rule,…

Q: What is the characteristic equation of the matrix (10 5) ² ? 3 (Give the characteristic equation in…

A: Characteristics equation of the matrix

Q: [13 5 matrisinin rankının 2 olabilmesi için c aşağıdakilerden hangisi olamaz? 26 c if the given…

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Q: 4. An n x n matrix A is persymmetric if Jn AJn = AT and skew persymmetric if JnAJn = AT, where Jn is…

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Q: Q1 Create an matrix as follows 1- Set up the matrix A with its elements in order, the first column…

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Q: Let  A be a symmetric tridiagonal matrix (i.e., A is symmetric and aij = 0 when ever |i−j| > 1). Let…

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Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: d the third column of A 'without computi 1 be found without computing the other om nted matrix (A…

A: The matrix is given as A=-2-3-2525431218. To determine the third column of A-1 without computing the…

Q: 9. Find the QR decomposition of matrix 3 1 -2 A = 1 1 1 -1 2 4 where diagonal elements in R are…

A: Given: A=31-2111-124 We knows that A=QR Where Q is orthogonal matrix and R is upper triangular…

Q: 29 What numbera in A-L makes A-QA@ possible (where Qis an orthognael matrix and A is an Zero or 1??

A: We shall solve this question by just using the definition of an orthogonal matrix. We know that a…

Q: 3.2 The RREF of the augmented matrix corresponding to the system you produced in the first step is…

A: Given: Let's solve the following  1)The RREF of the augmented matrix associated with the system you…

Q: of the following statements is/are true! piz (A) For a nonzero matrix A E Rx, let P be a matrix that…

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Q: singular values and SVD of a n × 1 matrix

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Q: 7. Let A be a 4 x 4 matrix such that the homogeneous equation AF = 0 has general solution i = Au for…

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Q: 2. Find a single matrix equal to [1 - i 1+0, where i = √-1 (imaginary unit).

A: To find the product of the given 3 matrices.

Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: Determine whether th e given consump-tion matrix is productive.

A: Concept: A rectangular array of numbers (or other mathematical objects) for those the operations…

Q: solve for matrix Colfficients A. CCX=l,y=l-),2=0]] 3.CCx=1,y=1,2 =]] CCa--4),-(-1をこ0 CCX=3,y=3,=)…

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Q: (3 (4") *) If A is 3 x 3 matrix with det (A) = 3, find det %3D

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Q: ind LU and LDU factorization of the following tridiagonal matrix. A=[1 1 0; 1 2 1; 0 1

A: Given matrix is  A = 110 121 012 To find the LU and LDU factorization of the given matrix.

Q: A(t) is a 2 × 2 matrix of differentiable functions and X(t) is a 2 × 1 column matrix of…

A: Let The matrices A(t) and X(t) be A(t)=A11(t)A12(t)A21(t)A22(t)X(t)=x1(t)x2(t) The product rule of…