5. Let 2 0 A= H 2 2 0 -3 0 - find the matrix noms

Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

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Q: [2 3 Let A = and B = Find the (1,2)-entry of matrix X |3 5 given that XA+X=B. -3

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Q: [1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

A: GivenA=111101212R2→R2-R1R3→R3-2R1A~1110-100-10R3→R3-R2A~1110-10000We know that The rank of a matrix…

Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

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Q: 0 5 Let A= 4. diagonalizable matrix( A-XDX), then X and D are: 1 Select one: a. -5 X= -5 0 4 0. b.…

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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: 4 2 If A is a non-singular matrix whose inverse is find A. 1 - 2 -1] -1] 1 В. -1 1/2 С. -1/2 1 D. |…

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Q: B = . and = If X is a matrix that Let A = satisfies: Al, = 2B – XC. Then X is %3D

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Q: 4. Find the cofactor matrix for the matrix. 5 9 1 8 5 6 4

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Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: 5. Let D be a non-singular matrix such that 7. (7D)- 1 -2 Find D.

A: Inverse matrices

Q: ............. 05 Let A = diagonalizable matrix( A = XDX-1), then X and D are: Select one: а. -5 0 1…

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Q: 3. Find a 3 x 3 matrix A such that [1 0 3] 1 1 0 0 1 0 2 1 11 A = 4 2 3 1 1

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Q: 3 5. Suppose that A is an invertible matrix with A-1 = a. Find A. b. Find the 2 x 2 matrix X so that…

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Q: 12 6 . Determine the rank and nullity of the matrix C=|0 1

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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: It exists, Ol the matrix. 1 - 1 2 – 1 1 1 1 2

A: A-1=?

Q: 2 1 4 6 Find a matrix X that satisfies A(X+I,)=B, where A = and B = 6 5 3 5

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Q: -42 -36 Let A= and let B = 33 15 Solve the matrix equation for X : 3X = 3A – B. %3D

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

A: Matrix multiplication, for matrix A and B can only be done if the number of columns of A is equal to…

Q: 7. The rank of an identity matrix of order n is: А. п - 1 В. п C. n+1 D. 0

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Q: 18. Find all a and B > 0 so that the matrix 1 A = 28 5 4

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Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 4 8 3 10 20 30 12 14 16 18 Y(18) O…

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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

A: Given  A=1203-12-23-2

Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

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: Let M-1 = [² ¹9]. 18 Then (2M¹)-¹ = [3] the above matrix None of the mentioned 4 [1/2]

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

A: Definition of Involutory matrix: Let A be a Square matrix, A is involutory if its inverse is same as…

Q: 1) Suppose that T is a linear operator with standard matrix 8 3 6 0 2 0 0 7 Is T one-to-one?…

A: Given the linear operator T:ℝ3→ℝ3 836025007 Now, we find determent of T.…

Q: 4 2 If A is a non-singular matrix whose inverse is 1 1 find A. - 2 -1 1 D. -1 1/2 1 В. С. -1/2 2 А.…

A: Goal is to find inverse of matrix 4211

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: Find the singular values of the given matrix.

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Q: (9) If 2 0 0 1 3 A-'B-1 and A = 2 -1 evaluate the matrix B.

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Q: 1. Show that matrix A is singular [1 2 0 A= 3 -1 2 -2 3 -2

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

Q: 0 5 Let A =| diagonalizable matrix( A = XDX¯1), then X and D are: Select one: а. -5 X = 4 -5 4 b. 1…

A: Given A=0541

Q: Let A and B 5 Find the (1,2)-entry of matrix X 3 -3 given that AX+X=B. 9 3 -1 ||

A: follow netx step

Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

Q: 2 Suppose A = is positive semi definite matrix then: 10 O a. a < -V20 O b. a = ±v20 O c. lal < 20 O…

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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: q4: If  det(A) =|A|= 0, then A is called a non-singular matrix  True  False

A: Non-Singular matrix: A non-singular matrix is a square matrix whose determinant is not equal to zero…

Q: (1 3 4 Q3: LET A = ( 3 0 4 1 2 -1 1- find |A|. 2- Determine if A symmetric matrix or not ? why ?

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Q: (3 (4") *) If A is 3 x 3 matrix with det (A) = 3, find det %3D

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Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

Q: Let 1 0 8 5 A = 4 7 В 0 -2 C = %3D 5 3 5 0 -3 3 2 -1 Find a matrix X such that AXB = C.

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Q: 0 5 ] Let A diagonalizable matrix( [ 41 A=XDX, then X and D are: Select one: a. -5 1 -5 0 D= 4. 4.

A: Given  matrix A=0541we have to find  matrix X and D such  that A= XDX-1

Q: 1 4 9 7 For the matrix A where A 2 5 12 11 3 6 15 15 Determine the nullspace of A

A: First we have to reduce into row echelon form of the given matrix.

Q: 1 1. Find numbers x, y and z such that the matrix A= 0 0 0 1 0 4 -2 A?+ satisfies 1 4 = 13 0.

A: