[i -1 2 Find the matrix A if (5A)" =|0 2 0 2 0 |3 -1 4 %3D

Q: -1 Give the co-factor of matrix C, where C = 1 2 1 1 5 2 1 1 -1 2 -4 5 2, -1 3 1 B -2 6. -2 3 -9 3…

A: Given,            C = 1-1-4125112

Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

A:

Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

A:

Q: Find an example that meets the given specifications. 3 x 3 matrices A and B such that AB ± BA 0 0 0…

A:

Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

A:

Q: 5. Consider the matrix 3 -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your…

A:

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

A:

Q: [1 2 0] 3. If is A =3 4 0 create a matrix B whose entries are three times the difference of an…

A: Since I have solved similar ones, Let us find the matrix B and and it's determinant using built in…

Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

A:

Q: 3- -4 0 1 2 1 - Find the adjoint matrix adj(A). 0 -1 Let A = 3 1 -2 3 -1 -1 2 a) 1 b) -1 2 1 2 -1 0…

A:

Q: -5 -8 0 12. Show that the matrix A = 3 5 0 is involutory. 2 -1

A: We can easily check  whether a matrix is involutory or not. For this, check the square of a matrix…

Q: 2 – 1 Find the values of a for which the matrix A = 2– 2 1 is invertible. 2

A:

Q: [2х 81 2) For what values of (x) does the matrix : 1 a)singular b) non-singular

A: Given matrix is  A=2x81x Now,  A=2x81x=2x2-8=2x2-4 So, A is singular when A=0 which occurs when x2-4…

Q: 2 3. Let A be an invertible matrix such that A-¹ = 0 1 2 1 3 0 1 01 Solve the system (2A²)x= b,…

A: Given is the matrix A-1=220011-130,b=4-13 The objective is to solve the system (2A2)x=b.     Any…

Q: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

Q: Linear algebra help pls

A: To write down the matrix whose entries are the cofactors of the given matrix

Q: [1 Find the value(s) of x for which the matrix 2 Lo 3x -1 0 is not invertible. 3 1.

A: The given matrix is 13-12x003x1. The matrix is said to be non invertible if determinant of the…

Q: Question 5 Suppose that A is an n x n matrix that satisfies the condition A² - 2A + I = 0. Use this…

A:

Q: The Matrix A =| -1 2 is not invertible. 0 1 O True O False

A: Given: Matrix A is given as follows: A=-1201   Invertible matrix definition: A matrix is said to be…

Q: 1 2 1 Find a matrix Z such that D=Z AZ is diagonal, if A -2 1 3

A: The matrix given is as follows: A=1-21-25313-2 First, we will find the eigenvalues of the given…

Q: Q3: Express A and A-1 as a product of elementary matrices. [1 0 5] A = 0 1 6 li o 3]

A:

Q: -5 41 ka) Find rank of matrix A 1 -2 1 -4 5. .

A: We are given a matrix 2-541-211-45 For checking the rank, first let us calculate the determinant of…

Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: Find the value of k so that matrix A singular. 1 1 1 -k A = 3 2 -6 -2 2k O 1 3 O None of the above

A: topic- matrices and determinant

Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: -1 When diagonalizing the matrix A we get A = PDP-1 1 -2 Then P =? and D =? 1 2 -1 P and D 0 2 -2 1…

A:

Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

A:

Q: 2 0 Find the spectrum of the matrix A = 2 X(A) = { Ex: 5 :}

A: Consider the matrix  2002

Q: 4 Given matrix A = : 1, find x such that -2 the matrix is singular. а. О с. 3 b. 2 d. 6

A:

Q: (-1 2 (b) Compute p(A) for the given matrix A = and the polynomial p(x)=x² – 2x+1 0 3

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: [1 Find a matrix A = -4 -51 = l3. y] 1 z such that A² 10 %3D Lo 1. Lo

A: Given A=1xy01z001 A2-0-4-50010000=I3 To find Matrix A:

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: 3. (a) Solve the matrix equation for X: -1 0 1 2 0. 1 1 3 1 1 3 1-1

A: Explanation: To solve the matrix equation. X-101   110   31-1=120  -31-1 The resultant matrix is…

Q: 3. Let A be an invertible matrix such that A-¹ = NOT 2 0 1 2 01 1 1 Solve the system (2A2)x= b,…

A:

Q: 5. Find the cofactors and the adjoint matrix of A where (1 1 -1 b) A =|2 3 7 0 -1 a) A =-2 0 -2 4 -3…

A:

Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

A:

Q: (-2 2 13 -1 -2 8 0 6 What is the cofactor of the element zero (0) in the matrix (-1 -34 3 34

A:

Q: a For what values of a, b, and c is the matrix -a invertible?

A: For no values of a, b, c the given matrix is invertible.

Q: Q1: For given matrix A, find a 3 × 3 non-singular matrix P such that P-1AP is diagonal. 1 A =|-3 -5…

A: Given :-  For a given matrix A, a non- singular matrix P such that P-1AP is a diagonal. A =…

Q: Let A = L} ? - 1 0 B = 1, and C = [-1 1]. %3D -2 3 0. Then 2BC + AT = %3D 1 3 -4] -2 -2 -1 1 O the…

A:

Q: Find an example that meets the given specifications. 3 x 3 matrices A and B such that AB ± BA 0 0 0…

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: 3 -1 6) If X = is a matrix of order 2x1, given that A= [1 2 B = C = find the matrix X such that AX…

A: Given A=3-112, B=31, C=1-2 and X=pq

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 1 -1 0 1 Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I2. Is it possible…

A: In the given question, the concept of the matrix is applied. Matrix A matrix is a rectangular array…

Q: [2 1 1. Find the inverse matrix using Gaussian Elimination for A=|1 1 1 li -1 2.

A: We know for a square invertible matrix [A:I]=[I:A-1] Now,  [A:I]= 211  100111  0101-12  001 R1↔R2…

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

A: