8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

Q: [2 8) Use the Gauss-Jordan method to find the inverse of the matrix A: %3D

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 -8 8 -4 A = 8 - 14 11 -5…

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Q: Q3: What 3*3 matrix that will generate Figure2 from Figurel. (1,21 LIRAQIA UC2S)ERSITY (2,5) 2,2)…

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Q: 1. Find the cofgctor of 6 in matrix B. 4 り り

A: We will find out the cofactor of 6 for given matrix B.

Q: Construct a 2 x 3 matrix A such that the solution set of the equation Ax = 0 is a line in R3.

A: a)       Result of a system with 2×3 coefficient matrix is a line when system has one free variable.…

Q: Find the characteristic equation of the matrix by inspection. 4 2] -6 0 0 6 0 0 5] 4 -9 LO

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Q: Suppose that A is 2x2 matrix with eigenvectors V, = which correspond to A, = 3, 12=2 respectively.…

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Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: 4. If b = [1 -1 0]", determine whether the matrix equation Ax = b indicates a solution by…

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Q: If a 6 x 3 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT .

A: We are given that a 6x3 matrix A has rank 3. So, dim(Row A) = 3. We know that dim(A) = dim(Row A) +…

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

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Q: Which of the following matrices is not in Row Echelon Form (REF)?

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Q: If the Reduced echelon form of A-λI is the identity matrix then what is the eigenspace (Eλ)?

A: We need to find the eigenspace (Eλ) if the Reduced echelon form of A-λI is the identity matrix. Note…

Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1

Q: Suppose that Q is an orthogonal matrix, then OaQ-8 ObQ-2 d 1Q-0

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Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

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Q: 3 7. (a) Compute the QR factorization for the matrix A = (b) Use the QR factorization to solve the…

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Q: -14] is a linear combination of the vectors 16 if and only if the matrix equation Az = b has a…

A: Solving

Q: Suppose that we use the LU-decomposition of a matrix A as displayed below to solve Ax = b in two…

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Q: [1 2 2 3 1 0 1 1 4 4

A: Given matrix is  123101144find LU factorization of a given matrix

Q: -s of the matrix or p = 2. What the Eigen valu

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Q: Find an SVD of the indicated matrix.

A: The matrix is given of which SVD is to be calculated so,

Q: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: and that h(T) = T² – 2T – 7, find h(A). The questions should read as attached. Change made at the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: Find diagonal matrix D is similar with A a A =[? -5 And make sure can transtor diagomalizablewith

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Q: 4. Compute (A-1) and (A-I)°, where A is a square matrix and I is the identity matrix

A: I have append the the formula used and concept in the solution part for your convenience.

Q: 1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

A: An upper triangular matrix is one whose elements below the diagonal are zero. For A3 which is a 2×2…

Q: The matrix (matrix image) has one eigenvalue equal to 3. The sum of the other two eigenvalues is...…

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Q: The diagonal elements of a 3x3 matrix are 2, 1, -3 are respectively. If two of its eigen values are…

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Q: 2 3 Show that the matrix A is singular. 4 6

A: Concept used: Singular matrix are the matrix that is not invertible. In other words the determinant…

Q: What does it mean to say that A is a matrix with dimensionm  n?

A: A matrix is a rectangular array of elements arranged in rows and columns. The size of the matrix is…

Q: Suppose CA = I, (the nxn identity matrix). Show that the equation Ax = 0 has only the trivial…

A: Let A be m×n matrix then Rank(A) + Nullity(A) = number of columns of A Where Rank(A) is the…

Q: Suppose A +A+I-0 where A is a square matrix then A= A -A-I -2A A-I CS Scanned with CamScanner

A: Now we will find A-1 . Where I is identity matrix.

Q: For which valua of k does the matrix 1 have real eigrenvalue of one multiplic ety 2 a to

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Q: 8.) Find the LU-factorization of the following matrix 1 2 2 2 3. 1.

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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: Find an LU factorization of the matrix A (with L unit lower triangular). 3 -4 -3 L = U = A,

A: The solution is given below

Q: Find a 2 × 1 matrix x with entries not all zero such that

A: Given: Ax=3x, where A=2112 let's assume matrix x is x=ab

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: Consider matrix K of order 3 defined by 3sene 3cose K = -3cose 3sene \3sene - 3cose 3sene + 3cose 3,…

A: To find the cofactor of the matrix

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: O Find the transforma tion matrix that wotates the axis X of a rec tangu lar coor dinale system 60…

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Q: §3.6, Exercise 1. Let A be an m × n matrix. Show that the matrix AAt is symmetric.

A: For a matrix X to be symmetric, Xt=X.   Here, A is a m×n matrix, suppose At is its transpose. Claim:…

Q: If a 6 × 3 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT

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Q: For which value of k does the matrix 4. A = 6 2 have one real eigenvalue of multiplicity 2?

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Q: Let A be the 2 x 2 matrix with elements a,, a12 = a21 = + 1 and a,, = - 1. Then the %3D eigenvalues…

A: Introduction :Given , a matrix A with elements and we have asked for the eigen values of matrix A19

Q: 2. Find the eigenvalues of the following matrix: 2x, = 9 -X, + 2x, -X, + 2x, x, = 8 3 Is the matrix…

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Q: For which value of k does the matrix 4 k A have one real eigenvalue of multiplicity 2?

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