Which of the given matrices are singular? For the non- singular ones, find the inverse. 1 37 1 3 (a) (b) 2 6 6.

Q: Solve for the inverse Matrix. d.Using Adjoint of a Matrix 2 -1 |4| = 0 1 %3D 1 1

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Q: 1 2 2 Given that matrix A = 2 1 2 2 2 1 i. Show that A? – 4A – 51 = 0 where I is an identity matrix.…

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Q: (c) Find A-1 and B-1 using the adjoint matrices you found in part (b).

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Q: Г1 6 B = 3 2 Find the inverse matrix, B 1, by using the adjoint of B.

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Q: Algebraically find the inverse matrix of: 1 4 A = |0 -4 0 1 That is, write: a b d e f 8 hi and…

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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: A and B are n x n invertible matrices, then the equality (A +B) (A – B) = A? – B? always true.

A: No this false ,

Q: 12. Find the inverse of the given matrices or determine that the matrix is singular: (a) A = 6 l:…

A: For singular matrix determinant is zero And inverse is not possible

Q: [2 1 Q1 \a: find the inverse of the Matrix A= 1 1 2 1 -1

A: Given Matrix

Q: (a) Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix. 3 4]…

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Q: 1 3 -1 For the given matrix A=-2 1 2. Find the inverse matrix ? 053

A: From the given problem:   AT=13-1-212053 So,   A=1-20315-123

Q: Q: Find inverse of the matrix using Gaussian and Cofactor method: 3 5 2 4 1 -9 -15 -62

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Q: Give an example of  a matrix which is its own inverse ( that is , where A−1=AA−1=A)

A: To give the example of the matrix whose inverse is matrix it sef. That is: A-1=A

Q: V2 1 2 11 T = 0- 2 000 -Vī

A: If A is a matrix of order and I is the identity matrix of order, then If A-1 is the inverse matrix…

Q: ind the inverse of the matrix (if it exists). (3 by 3 matrix) [ 1 1 1 ] [ 3 5 4 ] [ 3 6 5 ]

A: we can find the inverse if the number of rows and columns of the matrix are the same.  we also know…

Q: Find elementary matrices E1,..., Ek so that Er...E1A = B for %3D 1 2 В 4 A : -2 3 7 Writing C =…

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Q: Determine the inverse of the given matrix if possible. Otherwise, state that the matrix is singular.…

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Q: 10. Which one of the following matrices is not diagonalisable, working over C? 4 4 0 7 (a)| (c)| (b)…

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Q: Find elementary matrices e and e2 such that di 0 e2 = 1 5 1 5 e1 0 dz) for some numbers d and d2.

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Q: [1 2 1 Given that matrix A= |1 -1 0, find the matrix A². If A³ – A² – 6A = I %3D |3 1 1 where I is…

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Q: (a) Given that A 8 6 %3D Calculate the the inverse matrix of A.

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Q: 1 0 0 The inverse of the matrix A =| 0 1 0 is: -4 0 1

A: Inverse of the matrix

Q: Q3: Express A and A' as a product of elementary matrices. [10 5] A = 0 1 11 6 0 31

A: Given matrix is A=100010-101

Q: Which of the following is a product of elementary matrices for the matrix 4 = a) b) 4FI) 114 0 100…

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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: 5 a 1 28 6 2 Find all a and 3 > 0 so that the matrix B = is 2 a diagonally dominant;

A: Consider a square matrix . Then the matrix is said to be diagonally dominant if it satisfies the…

Q: a) Obtain the inverse matrix using LU decomposition -1 2 3 Ax = b A= 4 6. b= 2 7 8 -9 b) Once you…

A: Given To determine inverse matrix using LU decomposition

Q: (A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1…

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Q: Find the inverse of the matrix (if it exists). 1 2 7 9. -1 -4 -7 Step 1 1 2 2 A = 9. -1 -4 -7 As the…

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Q: Determine the inverse of the given matrix if possible. Otherwise, state that the matrix is singular.…

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Q: Which of the following is/are not an identity matrix? [1], в %3 1 B = 1 0 0 D 1 A C 0 1 1 0 0 0 1 0…

A: The identity matrix of size n is the n × n square matrix with ones on the main diagonal and all the…

Q: Find the inverse of the matrix if it exists. (If the answer does not exist, enter DNE in any cell of…

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Q: the inverse A 5.1(b,c) Is given matrix diagonalizable? If so, what are the corresponding matrices P…

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Q: 7. Find the inverse or determine the matrix is not invertible. (a) 1 (b) 1 -2 1 (c) -3 1 3 -2 -1 2 1…

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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. Find the inverse of the following matrix where a is the nonzero real number: a 0 0 0] 1 a A = 1 a…

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Q: Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse?

A: Given matrix is                                       A=1ex0ex-e2x0002 we have to find inverse of…

Q: Let A 0 B² 0 Which of the following matrices are defined? A² OAXB OBXA -1 and B :)

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Q: Q3: Find the matrix inverse for A and B [2 1 4] A = 3 5 1 21 3. В %3D

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Q: 3 -1 0 2 4 N O

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Q: Find the inverse of the matrix 0 1] a) 2 b) c) OA OB OD OC 1|3 WIN 0 1 2 1 3 2. 0 3 0 1 3 2 0 using…

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Q: Find matrices A and B for which rank(A) = rank(B), but rank(A?) + rank(B²).

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Q: 0 1 the inverse of matrix Select one: a. b. 1 0 1 1 0 1 1 0 d. 1 0

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Q: The inverse of the matrix shown below is: [5 31 L10 6] В. [5 31 L1.0 .6] C. [.167 .11 [.33 2] А. D.…

A: We know the inverse of matrix A =  abcd is given by,A-1 = 1ad-bcd-b-ca     where, ad-bc ≠0

Q: 2. Find the Inverse of the matrix A-1 (If it exists). 1 3 47 A-1 |-2 1 3 2 |

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Q: ind the inverse of the matrix, ... -7 -6 4. Choices: -3/2 1/2 –7/2 3/2 1/21 4 1 3 1 c. 10 [7/2 3/2…

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Q: 2. Find the Inverse of the matrix A-1 (If it exists). 1 3 4 A¬1 -2 1 %3D 2 -1] |

A: We have to find inverse of the matrix( A-1)-1.

Q: (0.25 0.25 1 Consider the matrices A = and B 0.5 -0.5 -1 \0.25 0.25, Is B the inverse of A? OTrue…

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Q: find the inverse of the given elementary matrix.

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Q: Which of the following matrices is negative definite? 3 0 -1 3 (C) -6 (D) 3 1 (A) 0 (B) 0 1 -17 0 0…

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