3 1 A B= 6 -5 -6 (1) Find a matrix C which satisfies 2A+ C = B. C = (2) Find a matrix D which satisfies A +B+D=I. D ||

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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: 4. Assume the invertible matrix A satisfies 10 4 2 1 3 1 1 A 4 A -1 -1 A 6 1 -2 3 4 -3 Find the…

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

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

Q: 6. Use the Gaussian Elimination (a) to write the following augmented matrix in the reduced row…

A: We Know that,  A matrix is said to be in reduced row echelon form when it is in row echelon form and…

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: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 3 0 0 0 1 1 is an elemanter matrix. |\ 0 1 Choose one: true false

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Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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

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Q: 5. Consider the 3 × 2 matrix A such that 3 A and A 5 3 (a) Write down A. (b) Is A singular? Justify…

A: For the given information, we have to answer the following...

Q: 2 1 0 -1 3 1 Calculate the rank of the matrix P = 1 2 0 3 1 1 1 -1 - 5 -7 3 -

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

A: A-1=?

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A: In this question we have to solve the system of equation.

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…

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Q: (b) The rank of the matrix A is 2. (2 4 2 A =1 k 3 1 2 2/ (1) (ii) For this value of k, is A…

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Q: 5 7 2) 3 1and B -1-2 0 10 ( 5. The Matrix A and B are a non nxn matrix. Given that A= 2 11( %3D -5…

A: Given that A=572231-1-20 and B-1=100110-5-21 (a) The objective is to find A-1. Determinant of matrix…

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Q: 5 3 3. Given the matrix C = find a matrix X such that 2 2 (b) XС + X —I (c) (X" – 21)-1 =C

A: To solve the following matrices

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A: The matrices A and B are similar if there exists an invertible matrix P such that B=P-1AP

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A: Put t=1, s=1. Now we have  A12-1+111=A1211=20-23 Consider the set 12-t+sts-1211

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A: The given linear system is  Axy=b where A=0.10.60.5z and  b=1811 Solution (4) Matrix A is invertible…

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: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

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: -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: 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: (b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the…

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Q: 3. (30 points) Diagonalize the matrix A = 5 0 1 -1 05 0 0 0 0 4-3 0 -2 0-3 if possible.

A: 5000050000-30000-3

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: of linear equations correspondingto the coefficient matrix A below. 6 -2 01 -6 -5 0 1 20

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Q: 10 3 2) Let the Matrix A= 3 4 -1 25-4 then Find A- by elementary row operations only.

A: Given that A=10334-125-4 find A-1by elementary row operations only

Q: 6] Solve the matrix equation -5A+4 = 3A – 2 9. for the matrix A. Enter all answers in exact, reduced…

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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,…

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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: 2 3. Let A be an invertible matrix such that A-¹ = 0 L-1 213. 010 Solve the system (2A2)x= b, where…

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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: 7 Let K = -1 2 8 0 2 6 3. Express matrix K in quadratic form. -9

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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: 8 -18 Let A = and let B = 4 %3D 6 16 Solve the matrix equation for X: 2X = 2A-B.

A: Given:

Q: 2 3. Let A be an invertible matrix such that A¯¹ = 0 l-1 2131 010 Solve the system (2A2)x= b, where…

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Q: 5 15. Let A be the matrix -3 1 (a) Compute A-!. (b) Use part (a) to find the unique solution to the…

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