29 What numbera in A-L makes A-QA@ possible (where Qis an orthognael matrix and A is an Zero or 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: 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: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

Q: 4. If det(Adj(A)) = then what is det (A-1) if A is a (4 × 4) matrix?

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Q: Find the greatest value of A that make the matrix 2 – A 2 A singular. -6 5 – A

A: Eigenvalues and determinants

Q: Show that if A and B are two n × n matrices with the same diagonalizing matrix X, then AB = BA.

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Q: Let a = (a;) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first…

A: we have solved this question by using an example.

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.

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Q: Compute the indicated power of the matrix.

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Q: 6. Show that if Q is an orthogonal matrix, then 1 0 %3D 0 Q is also an orthogonal matrix.

A: We have to show that HHt = I

Q: find an LU factorization of the given matrix.

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Q: What is the rank of the identity matrix of order n? On+1 On-1

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Q: Consider again 2 × 2 diagonal matrices: k 0 0 j If k, j ∈ {0, 1, 2, 3, ..., 9}, how many possible…

A: Given 2×2 diagonal matrix k00j k, j ∈0, 1, 2, 3, ..., 9

Q: If A is 3 x 3 matrix such that A 2 then A is -4 diagonalizable. Select one: True False 1 1224

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Q: Suppose that A+ is a 2 × 2 matrix and that A+ = -A. Show 7.2 that iA is awesome.

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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: 8.) If A is an mxn matrix, what are the largest possible value for its rank and the smallest…

A: As per the instruction, we will be answering only the first one. For (8), We have that A is an mxn…

Q: (1) Find A = LU, where L is a unit lower trian- gular matrix and U is an upper triangular matrix (by…

A: As given by the question There are given that the matrix: A=20-2-4362-9-9 Now,  LU-decomposition…

Q: 4. Suppose that a matrix A can be writ

A: Given, a matrix A can be written as the matrix product A=BC as follows:…

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​…

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Q: 2. If A is an upper triangular matrix and B is a lower triangular matrix, then ((AT)-- 2B)- is : O A…

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Q: A transversal of an n × n matrix is a collection of n entries where no two are in the same row and…

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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: 5. Solve Ax by forming an augmented matrix and using Gauss Jordan Elimination = a

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

Q: 1. Show that matrix A is singular 1 2 A= 3 -1 -2 3 -2

A: Given  A=1203-12-23-2

Q: If A and B are orthogonal nxn matrices, then AB-1 is an orthogonal matrix. True False

A: here we must know that  1)  AA-1=A-1A =I2) ATT=A3) AI =IA =A

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

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Q: 18. Let A be a 3 x 5 matrix with 2 pivots. What is the dimension of Nul(A)?

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

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Q: 2. Find the LU factorization of the following matrix. 1 1 A = | 1 2 3 1 3 6 /1

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Q: 6. Suppose a matrix A is full rank. Explain how we know that A* A will have a unique Cholesky…

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Q: 2. By using Hadamard matrices of order 2 and 4, construct a Hadamard matrix of order 8.

A: Given: Let us construct a Hadamard matrix of order 8 using the Hadamard matrices of orders 2 and 4.

Q: *3. Suppose A is an n × n matrix and B is an invertible n × n matrix. Simplify the following. a.…

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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: (1) Find A = LU, where L is a unit lower trian- gular matrix and U is an upper triangular matrix (by…

A: Given: A=2101-2-22-121336115 and b=0006. To find: LU decomposition of given matrix and hence solve…

Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: [2 3 find the invers of matrix A by using the elementary row operation, where A = 5.

A: For finding the inverse of any matrix A, at first we augment it with an identity matrix on the…

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: Show that (-A) T= -A", where A is a 2x3 type matrix (you can show it on the example)

A: Let matrix A=abcdef. Order of matrix A is 2×3. ⇒-A=-a-b-c-d-e-f ⇒(-A)T=-a-d-b-e-c-f  →Result 1

Q: 10. Suppose A is the n x n zero matrix (where all entries of A are zero), describe the solution set…

A: We have to find the solution set of system.

Q: ): If A = 1 Question is the standard matrix 3u1 + u2 representing L, then L uj + u2 Select one: True…

A: Linear transformation

Q: 2 Let A = 1 Compute 6I2 - A and (6I2)A. 3 - 3 61, - A = (Type an integer or decimal for each matrix…

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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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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.