K O K K 6 K K K A ,with K#O O O I Find the inverse matrix (A")

Q: 1. Give an example of a 2 x 2 matrix with no inverse ( singular). Show how it become singular 2.…

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

A: a) A matrix is upper triangular if all the elements below the main diagonal is zero Hence it is not…

Q: a 0 4 0] 0 -1 0 2 Let A= be square matrix. If trace of A is 8 find a+b 1 9 3 0 0 -1

A: Given  A = a0400-10219300-10b trace of matrix A i.e tr(A) = 8

Q: a) Let A = 2 0 Lo 2 a . Find all values of a for which the matrix A has inverse. -aj Find A-1 (in…

A: Given: 10220a02-a

Q: atrix or the inverse of the given matrix by definition A*A-1 = A

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Q: 1 -2 -1 3 Let A = 4 -3 5 2 1 Let ez be the third column of the 4 x 4 identity matrix I4. Compute Aez…

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Q: Using the matrices. [1 0 R1 = 0 1 li [1 1 R2= 1 0 li 1 1 Find the matrix that represents R1-R2

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Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of  S∘T (a) by direct substitution  (S∘T) x1x2 = STx1x2                        =…

Q: [-1 0 0' 0 1 1 if possible. Show all your work. 1 1 Diagonalize the matrix A =

A: Given: A=-100011011 To find: Diagonalize matrix.

Q: 0 2 4 1 2 3 259 a) Express A = as a product of elementary matrices.

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

Q: 1 0 2 A = |1 1 2 0 0 0 is Determine if the matrix diagonalizable. Justify your answer.

A: Given matrix is, A=102112000

Q: 1 2 2 . For what value of a will the matrix A=| 2 а 1 2 а be singular? Explain.

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Q: 1 2 3 1 A = 1 0 1 -1 2 1 1 Find rank of the matrix

A: We have to find the rank of the given matrix…

Q: This matrix is a 0 0 4 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: The given matrix is                                     004040400.

Q: 0. Write X = as a product X = E, E E of elementary matrices. 56 %3D

A: Given matrix        X=01-8-56  and   X=E1 E2 E3   Interchnage  R1↔R2  of X   Then respective…

Q: Use technology to find the inverse of the given matrix (when it exists). Round all entries in your…

A: Given the matrix 0.4-4.80.8-0.2-2.6-0.4-1.6-1.6-3.2 We have to find the inverse of the matrix when…

Q: 1. Give an example of a 2 x 2 matrix with no inverse ( singular). 2. Give an example of a matrix…

A: 1) Give an example of a 2 x 2 matrix with no inverse (singular).   Let a matrix be A=abcdThe inverse…

Q: Express the matrix and its inverse as products of elementary matrices.  A=[1,0,−2; 0,4,3; 0,0,1]

A: Given matrix, A=10-2043001 The objective is to express the matrix and its inverse as products of…

Q: a. a⋅ If R = 11 and C= 1-5 -3 | find the inverse of C and -31 4 hence solue the matrix equation R.CS

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Q: 43 Let A = Find a and b (if possible) such that %3D 25 a A? + bAT +I=0 where I is the identity…

A: 1.Use Matrix multiplication 2. To find transpose, interchange row and column.

Q: Define the term identity matrix (unit matrix). All elements are ones. Ones on the first row and…

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Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

Q: 1. 3 Consider the matrix A = 1 -2 Find matrices L and U such that A = LDU. What is the relationship…

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Q: 2 0 0 Q.5) Using Cayley-Hamilton theorem find the inverse of the matrix A = 2 0 -3 5 2

A: Given: A=200120-352 To determine: Inverse of the given atrix using Cayley-Hamilton theorem.

Q: Use technology to find the inverse of the given matrix (when it exists). Round all entries in your…

A: The matrix is a set of numbers arranged in rows and columns. The square matrix is the matrix whose…

Q: if A = | メ %3D Hint A = B %3D -3 B = %3D 1) find x and y 2) The muti Plicative inverse of matrix B

A: Multiplicative Inverse  The multiplicative inverse of a matrix  is equal to the identity matrix when…

Q: 1. Give an example of a 2 x 2 matrix with no inverse ( singular). 2. Give an example of a matrix…

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Q: Solve for X Assume X is a 2 x 2 matrix and I denotes the 2 x 2 identity matrix. Do not use decimal…

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Q: Determine if B is the inverse matrix of A. 1 01 - 2 1 1 A = 2 1 3 В - - 5 2 - 1 -1 1 1 3 - 1 1 Is B…

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Q: 1 If A = a %3D then A is an orthogonal matrix when a. a = ±2 O b. a = ±1 %3D O c. a = ± d. α- +3

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Q: 1 point) Write X = 1 as a product X = E,E¿Ez of elementary matrices. -3 -21 E = E2 = , Ez =

A: X=01-3-21 We have to write X=E1E2E3, where E1,E2,E3 are elementary matrices.

Q: 1 0 4 if A= 0 2 3 1 -3/ Find: www The rank of matrix A* O 2 O 3

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

Q: -3 4 0 3 2 1 -1 3 о 1 -1 0 0 0 5 0 0 0 0 4 der the matrix A = 1 3 8. 1.

A: In this question, the following conditions are checked. Lower triangular matrix. Diagonalizable.…

Q: Using the matrices. [1 0 1 R1 = 0 1 1 li o 1 [1 1 1] R2= 1 0 1 li 1 Find the matrix that represents…

A: Use the given matrices.

Q: 4. (a) Using Cayley-Hamilton theorem find the inverse of the matrix [i 2 1] A =| 2 1 0 1 1

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Q: (iv) Given the matrices 3. 1 1/3 -1/6 A = and B =| 0 1/2 Yerify that AB = BA = I where I is the…

A: From the given problem:   A=3102 ;B=13-16012   As we know that the identity matrix is represented…

Q: 0 2 1 2 4. Find the rank of the matrix N = 2 10 1 201 4

A: We have been given the matrix  Note - Since you have posted with multiple questions so, we will do…

Q: 1 3 (b) If possible, express A = 2 3 product of elementary matrices.. as a

A: The given matrix is A=1323.

Q: 0. LetA 8 l show that there are no 2 x 2 matrix B such that %3D B2 = A. %3D

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Q: -3 i. If A =0 then show that A3 – 9A + 101, = 4, where I, and o -3. 3 -1 are unit matrix and null…

A: Given a matrix A=2-320203-1-3 To show that A3-9A+10I3=φ, where, φ is a null matrix and I3=100010001.…

Q: -1 For matrices A and 3 -20 -8 B = 8 show that A +B = 1 , 4 where / is the 2× 2 identity matrix

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Q: a 2 0 Q1: Let A= B 3 1.Find the values of a and B for which A is 1 3 1. Non-singular. 2. SDD. 3. PD.…

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Q: (1 2 3 2 (b) Find the rank of the matrix A = 2 3 5 1 1 3 4 5

A: The given matrix,A=123223511345

Q: 1 0 1 3 0 2 6. Let A = and B = %3D 5 1 (a) Calculate the matrix Aª.

A: given matrix  A=1051 (a') to find A4 multiply the matrices using matrix multiplication. A4=A2·A2…

Q: [2 0 01 Let A = 1 2 1 lo 1 21 Find two matrices that are similar to matrix A.

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Q: snip

A: The given equation is in the form: AX=B         -1 where,  A=10-123-1011 and B=-1-3503-2 It is to…

Q: а 3 2 Find the value of a that make the matrix A 1 2 3 3 1 2 - singular. a =

A: A matrix will be singular if value of its determinant is zero  => If A is singular then A=0

Q: 13. Find the cofactor matrix and adjoint of matrix A A = 2 -2 1 3 1 3

A: The given matrix is A=3-2121313-2. The main objective is to find the cofactor matrix and adjoint of…