Question: Which of the following matrix satisfies A+ B = 0 ? -4 6 -1] A =|-3 1 5 -2 -8 -1. 6 -9 B= |0 -5 [3 11 6 3 -7 3 11 -2 -11 B= 4 4 -8 1 10 -1 [3 -4 -21 B= 5 -2 Lo 7 5 4 -6 B= | 3 -1 -5 2 8 1 1.

Q: Which of the following is equal to the matrix product -1 -2 -2 -2 2 2 10 -1 -2 0 -6 3 2 -4 2 -4 4 4…

A: To find the matrix product

Q: 2 7 Which of the following is the matrix C that satisfies the equality (c" +312) 1 4 -1 3 (a) 2 -5…

A: We have to find matrix

Q: 1 0 -2 Given the matrix A = 4 -3 -4 |, find -2 -2 1 det(A).

A: We will solve the determinant by the first row.

Q: -2 1 -1 -3 1 3 b) Find the Rank and Nullity of a matrix A = -2 -1 1 -1 3 3 9 0 -12

A: Concept:

Q: 4. Given the matrix A below,  A = [ 2 1 3           1 -1 1           1 4 -2 ] find  a) its…

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Q: .\/2 3/2 Question 4 Find the inverse of the matrix 10 -2 4 2 -3 4 Choices: 8 -3 1 8 3 1 c. 10 [7/2…

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

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Q: Question2 Find the Rank and Nullity of the matrix -1 20 4 5 3 -7 2 1 4 A= 2 -5 2 4 6. 1 4 -9 2 -4 -4…

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Q: 5 - 1. Find the adjugate (adjoint) matrix of A. 3 A = -4 1 -1 5 -18 -11 -10] a) 2 14 -4 4 -8 -18 2 3…

A: Given Data- We have given a matrix. We have to find the adjoint of 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…

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Q: 32 40 72 Given the rank one matrix A = -20 -25 –45 -45 -24 -30 -54 -54 what is x?

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Q: [1 -3 Determine the matrix -31 if it is a linear combination of a b

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Q: -2 5 Find the characteristic equation of the matrix 3 5 C. 22 – 32 – 25 = 0|| D. 2? +72 - 25 = 0 A.…

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Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: Question: Which of the following matrices is a symmetric matrix? 2 -4 3 -1] 4 -3 -5 9. A = 3 -5 -8 4…

A: Option d is correct.

Q: 1 1 -3 Is the matrix A = 1 5 -2 positively definite? Justify your answer. -3 -2

A: Sylvester's criterion states that a Hermitian matrix A is positive-definite if and only if all the…

Q: 1 1 -1 -1 -2 -1 | If A = -3 4 B = 6 12 6. 3 -2 5 10 5 Show that AB is a null matrix and BA is not a…

A: Solution: Given data is:

Q: 1 -2 0 4 3 Calculate the rank of the matrix P = 1 1 -1 -5 -1 3 8 2 -12

A: The matrix P is,P=1-2043110-1-5-18382-12To find its rank.

Q: 5. The result of the following matrix product -3 1 is: 4 1 1 3 4 А. 12 -5 5 2 В. -6 13 1 0 2 С. 4 3…

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Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: 1) The dimension of the matrix 3 -2 1 0 4 2 1 2 a) O 2 x 2 b) O 4 x 4 c) O 4 x 2 d) O 2 x 4 is

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

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Q: Which one of the following s a symmetric matrix? .a 5 3 2 3 4 11 2 11 6 .b 3 2 11 4 3 6 11 5 .C 5 2…

A: Suppose A is a square matrix then A is  Symmetric if AT= A

Q: above one If A, B and C are invertible matrices, then (3A CB™)-1 is A-5 B-(C-1)" equal to the above…

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Q: 16. If A is a non-singular matrix such that A - A - 1 = 0, then A1 =? A. A В.А-1 C. A+1 D. 1-A

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

Q: 10. Solve the matrix equation. 1 1 6 6 2 1 2 4 A) 4 2 1 -2 10 8 10 1 В) D) -4 -4 -2 -2 10 2 4 00

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Q: 3 1 2 Compute the adjoint matrix of A = 3 2 2 1 2 3 Select one: 1 4 а. -7 8 4 -5 3 1 -2 O b. -7 7 4…

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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: 6: [1 The rank of the matrix A = 4 15 True O False 2 2 5 7 31 6 is equal to 3. 9

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Q: 1 -2 3 A = 4 5 6 141 ik # with аз1 a32 k 13 Consider the matrix If it is known that 5k – 48 2k +24 :…

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Q: [2 -1 Let A= 5 2 B= 7 4 2 5 C= 3 3 4 8. Find the matrix D such that CD-AB=0.

A: We have given the matrices A, B, C such that CD-AB=0 We have to find the matrix D

Q: 1 0.1 0.9 3 -12 6 Given Matrix A = 4. 1 -5 5 1. 17 6 -2

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Q: The nullity of the matrix 1 -2 0 3-4 3 2 81 4 A= -1 2 0 4-3 is n (A) =3. 1 5 76 0 O True False

A: Solution: The objective is to find the nullity of the given matrix

Q: 2. The following matrices correspond to the augmented matrix of a linear system of equations. GIve…

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Q: 1 2 adj of matrix A= 3 4 Select one: a. 4 2 -3 1 O b. 4 -2 -3 1 O C. 4 -2 -3 -1 O d. 4 2 -3 1

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Q: 4 -3 2 Given the matrix A = 5 -2 0 \1/2 3 7 -5/2/ (a) Calculate az31 + a13 and az4 + a24 (b)…

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Q: 1e 1 2 0 3 1 -1 7. 7. Is -2 0. 0. 4 211

A: Given: Augmented matrix;     To determine: Solution of the system by converting it into an identity…

Q: 4. Verify whether the two given matrices are similar. Justify your answers Question a. [:] 1 1 3 1 A…

A: …

Q: 16. Transpose the Matrix-2 a. C. 312 d. b. 1 -1 12 2 30 TINTO 1 2 -2 -1 3 1 −1 2 -2 2 • -2 0 2 −1] 2…

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Q: 3 -1 4 3 -1 4 p. Let matrix A = | 0 - 6|. If E, = 9. 5 then E, A =| 0 5 - 6 3 4 6. 18 4 f E, = then…

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Q: 6: [1 The rank of the matrix A = 4 [5 O True False 2 3 5 7 6 is equal to 3. 9]

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Q: Which one of the following is not a diagonal matrix? .a 3 0 0 0 4 0 0 0 5 .b -1 0 0 0 3 0 -6 .C -5 0…

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Q: find (a) AB (b) BA (if they are defined) for the following matrixes 2 1 0-1 0 A = -3 4 B = 4 0 2 1 6…

A: Product of two matrices are defined if the number of columns of first matrix is equal to the number…

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: 8. Given the matrix B = |1 1 1 1 1 1 Which of the following matrices solves X in the matrix equation…

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Q: [1 0 If A 2 -21 , then the matrix X for which 2X + 3A = 0 holds true is -3 4 -3 -올 3 3 6. -6 Select…

A: Find the matrix X for which 2X+3A=0.

Q: 6 6 4. -6 10 -1 23 10 0 -2 -11 3 B = -5 -11 9 -3 1. Given the matrices A = C =[-3 2 9 -5 7]. 1 -1 3…

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Q: QUESTION6 Which of the following matrix is in Reduced Echelon form? 2009 o0108 0 037 13 3 3 0100…

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Q: 3 1 2 3 2 2 Compute the adjoint matrix of A = 1 2 3 Select one: -7 8. 4 -5 3 -1-2 -7 b. +5 -5 1 7]…

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