1 0 1 to diagonal | Find a matrix P which transform the matrix A= 1 2 2 form. Hence A. 3. 2.

Q: 3| |1 Let A 3 1 4 3 1 3 41 1) Verify that: AadjA = det(A) I (Where I is the identity matrix) 2) Find…

A: given matrix isA=1331431341) to verifyA.adj(A)=det(A).I2) to find A-1

Q: [1 2 3] 1. Let A = |1 1 2 Lo 1 2] a) Find A-1. 1 0 0 1 -1 1 3. Given A = |1 -1 1 lo 1 0 -1] b) Write…

A: To find  The inverse of the given matrix A.

Q: 3 22 For the matrix A = 2 3 2 , the eigen vector corresponding to the eigen value d = 7 is 22 3.

A:

Q: 3 0 Find a matrix P such that P- 30 2 1 1 0 O A. P= 1 1 - -1 0 O B. P 1 1 1 -1 C.P = 0 1 1 0 O D.P 1…

A: P-13021P=3001 From the given that P-1AP is diagonal matrix A=3021 We need to find the eigenvectors…

Q: 1 0 0 0 -1 -2 If [ B|1]=0 1 0 1 -2 1 where I is the ldentity matrix then B = %3D 0 0 1 -2 -2 0. 3.…

A: According to question,  B | I  = 100          0-13-23010          13-231001           02313

Q: [1 0 -1] Find a matrix P which transform the matrix A= 1 2 1 to diagonal | 2 2 3 form. Hence A“.

A:

Q: 2) Solve the IVP: y' = |; + a) Find Fundamental Matrix -1-1 3±/9-4(1)(-2) 3±V17 = det[-,4 4= (-1–…

A: By using eigenvalues and eigenvectors of coefficient matrix we solve the given problem as follows :

Q: 13. Let A be an invertible n x n matrix. Let E₁, . . . ‚Ek be elementary matrices such that E... E₁A…

A: Since, echlon form of invertible matrix is identity matrix.

Q: 1. Gegeben sei die Matrix A = 0 1 (a) Ermitteln Sie A?. n (b) Zeigen Sie mit vollständiger…

A: we have to show that the following

Q: SP6 Find the condition number of the matrix from SP3 using the 1- norm. SP3 Given the matrix a -1 2…

A: Solution:

Q: 0. -1 Compute the inverse of the matrix A = -1 -3 -4 Type DNE if A is 1 1 1 not invertible.

A: We have given  matrix  A=0-1-1-1-3-4111 Then, A=0-3+4+1-1+4-1-1+3   expand along R1=3-2=1…

Q: Given a matrix 21001 0 20 0 A = 0 03 ) 0 0 0 3 Compute the metrix functions etA, Sin A Cnd (I-A).…

A: The given matrix is,A=2100  0200  0031  0003To compute: Matrix function o A,i) etAii) sinπ2Aiii)…

Q: 6 1 0 0 2 2 10 1 (b) Let A Find the value of b for which the matrix A is singular.

A: Use the property of the singular matrix to determine the value of b. Also, singular matrices are…

Q: |1 0 2 2 1 0 Find the singular values of the matrix A

A: Given matrix: A=102210To find; Singular values of the matrix A.

Q: [3 2 07 ) Let A= 1 0. Show that A +10 I = 7A, where I is the identity matrix of order 3 0 0 5

A: See the attachment

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

A: 1. The matrix is 1000cos 2π000ln e all the elements are on the principal diagonal , therefore it is…

Q: [0 1 01 [1 1 0] = 0 1 li 1 MR, = |1 0 1and MR, Lo 1 ol Find the matrix representation of R2 • R1.

A: R1 =010101010 and R2 = 110010110R1∘R2 = ?

Q: 5. Let A -1 2 1. Express the matrice A as the product of elementary matrices. 3 1

A: We have to express the matrix as the product of elementary matrices.

Q: 5 Find the spectrum of the matrix A = 1 Enter the answers in descending X(A) = { Ex: 5 } order.

A:

Q: 2 0 Let A = -2 1 -4 and B = 1 Find an 1 -1 1 0 -1 elementary matrix, E such that EA= B. a) 1 0 1 1 1…

A:

Q: 4. Let A be a 3 x 4 matrix and B be a 4 x 5 matrix such that ABx = 0 for all x E R°. a. Show that…

A:

Q: The matrix A = has a singular value decomposition A = UEVT where U = and [5/2 3/2 and V = The 2,2…

A:

Q: nofthe following is a product of elementary matrices for the matrx 1 0 4. 11 T-1-1 01 0 1 -2 1. 1 4…

A: We have to choose the correct answer from the given option according to the given condition

Q: 2. H -1. Use the matrix formed by {₁, 2, V3} to 5 determine whether the {₁, 2, 3} spans R3. Explain…

A:

Q: [1 2 3 1 5 L5 6 0. Q3/: Consider the matrix A = 0 find A-1.

A: Given, A=123015560

Q: 1 1 11. Let A = 1 -1 1 Find an orthogonal matrix U E R³×3 and diagonal matrix D 1 such that U AU =…

A:

Q: 1 0 2 2. Given the matrix. A = 2 -1 3 find A-, using the Gauss-Jordan method 4 1

A:

Q: Quèstion 12 1 0 Find a matrix P such that P- 2 3 0 3 P = OA. 1 P. 0 1 B. 1 0 C. 1 1 10 OD. 1 1 0 P.…

A: To find the matrix we have to find eigenvalues and corresponding eigenvector. Here with the help of…

Q: 2 Be A, a square matrix i. Given that A holds = 44 + 5I . Prove that A is reversible, and express A-…

A:

Q: -1 -x (d) Let A 2 2 1 (i) (ii) Determine an expression for det(A). For what values of x will the…

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: 2 0 O1: Let A = |B 3 1. Find the values of a and B for which A is 1 3 1. Non-singular. 2. SDD. 3.…

A:

Q: Q.12 Го 0. Let A = |1 0 and I3 be the 3 x 3 identity matrix. Then the 1 0. nullity of 5A(I3 + A +…

A:

Q: Г2 3 1 1 Let A = and B= . Find the (1,1)-entry of matrix X given 1 3 5 that AX+A=B. O5 O1 2.

A: Solution: The objective is to find the (1,1)-entry of matrix X

Q: 5. Let A = (, ) nd z- (). 1 and a Consider the matrix equation Ag = ka where k E R. Then the scalar…

A:

Q: 1 0 k Q11. Show that the matrix | 0 1 0 is similar to an 00 1 orthogonal matrix if and only if k =…

A: Let A=10k010001 To show that A is similar to the orthogonal matrix iff k=0: i)To prove k=0: Let A be…

Q: 0 5 Let A =-2 1 2 2 0 5 0 1 1 0 -1 -4 and B = 1 . Find an 1 0 -1 elementary matrix, E such that EA =…

A: The given matrix is: A=   2  0     5-2  1  -4   1  0  -1        and       B=2  0      50  1      11…

Q: [1 0 0 41 250 3 3 00 2 L4 3 2 1 ) Let, A = be a 4x4 matrix. Find det (A) and det (2ATA).

A: To find |A|   Also to find |2AT A|

Q: (1 0 -2) Let B =| 0 4 3 0 0 1 Find elementary matrices E, E,, E, showing required operations.

A: Given matrix is B=10-2043001

Q: (a) Show that the matrix P is regular. (b) If x(0) = (1,0) what is x(1)? (c) Show that vị = (1, 1)…

A: A Stochastic matrix is also a regular matrix . If has only non-zero positive entries.

Q: 4 Find the spectrum of the matrix A 1 -1 Enter the answers in descending 1(A) = { Ex: 5 3 } order.

A:

Q: 1 1 3 1 5 1 to the diagona .Find a matrix P which transforms the matrix A = 3 1 1 prm. Hence…

A:

Q: That is an initial condition ? elect one: O a. The inverse matrix O b. I am not sure yet c.…

A:

Q: -11 is singular -3] a Q1/A) Find the value of a, where A = 3 -1 -2 a matrix.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b w matrix of the form 2 -1 0 0 -1. 2 -1…

A: Given Data: Let us consider the given matrix  A= 2 -1   0   0...........-1-1   2  -1…

Q: [1 1 x] (b) Determine the values of x so that the matrix A = |1 x is invertible. Lx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: -2 a wi a 8 Consider the matrix A = Oa. a = 4 O b. a = -4 OCAERI{- 4,4} Od. A is invertible for any…

A: Given:A=-2 aa8 Where  a∈ℝA is non-invertible matrixNon -invertible:     If the determinant of the…

Q: 2. Let A be a 3× 5 matrix such that A = [1 2 ūz v4 05), where ī1, i2, 03, 04, ūz E R³, and Find ūz…

A: We have to solve given problem:

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.