1 1 3 Find the inverse of -2 2 1 using the matrix of cofactors. 1 1

Q: 04 Use Cramer's Rule cnd Inverse matrix method to solve the ginnequations. X+ 2y =10 3x 4Yy -8 =0

A: 4) i) By Cramer's method Given set of equations are x+2y-10=0, 3x+4y-8=0 Arrange equation variables…

Q: 2. Determine the inverse of the following matrix. Express your answer in rational form. Indicate the…

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Q: Question 1 Consider the matrix A- - (a) (b = 64 -1 1 -1 0 3 -2 -2 2 1 Compute the adjoint matrix…

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Q: 0, 3 3 The determinant of 0 1 is equal to -1 5 1 4 3 -2 -1 -30 О 25 O 25 30 O 5 0 00

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Q: if A1= 3+3i and X2= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal Select…

A: Since, product of eigenvalues is equal to determinant So

Q: 1 1 (b) Given the matrix, A = ( 2 1 -1 \3 1 2 (i) Find the determinant of A (ii) Hence, find the…

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Q: -4 4 The characteristic polynomial for the matrix F 3 -4 7 -3 6 is Af(t) = (t – 3)²(t – 1). Find…

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Q: a. Determine the determinant of the matrix by expansion and inverse by ERC 3 4 0 0 0 25 000 09 200…

A: The given matrix is 3400025000092000506700434 Expanding along the first row.…

Q: 10 0 0 100 1 The determinant of the matrix in the figure is L 0 0 100 200 1 100 200 300 1

A: The determinant is a particular type of expression written in a special concise form. The…

Q: 0. -1 Compute the inverse of the matrix A = -1 -3 -4 Type DNE if A is 1 1 1 not invertible.

A: We have given  matrix  A=0-1-1-1-3-4111 Then, A=0-3+4+1-1+4-1-1+3   expand along R1=3-2=1…

Q: 1 0 1 to diagonal | Find a matrix P which transform the matrix A= 1 2 2 form. Hence A. 3. 2.

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Q: 3: A) Solve the following equations (find x,y.z) by using inverse matrix method. Note: Check the…

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Q: Verify AB = BA for the matrices below. – sin a cos B - sin sin B CO A | A = and B sin a CO A Cos 3

A: Please see the answer below.

Q: For complex matrices, the symmetry ST = S that produces real eigenvalues must change in Section 9.2…

A: Given: The Hermitian matrix;

Q: if A1 = 3+3i and A2= 3- 3i are two eigenvalues of 2 2 matrix A then the determinant of A equal…

A: Concept: Let A is a matrix of order 2×2 having Eugene values are p and q then,  Determinant of A =…

Q: [1 -2 5 2 3 0 The cofactor of the (2,3) – entry of 2 -6 [5 4 4 -6 B -2 -3 D

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Q: 2 1 then the corresponding eigenvector is 3 2. If 2-3i is a complex eigenvalue of the matrix O A O…

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Q: Question 2 [2 Consider the matrix B= = (a (t -1 2 1 -1 2 1 -1 -2 0 Use the cofactor exapansion to…

A: We have to find the determinant.

Q: 1 3 4 18. If A = 0 -2 9 then the cofactor expansion of |A| along the 3rd row yields 4, 1 (A) – 0 -2…

A: We have to fidn the cofactor of A along 3rd row.

Q: 4) Consider the matrix iteration B+1 = B„(21 – AB„) which is employed for finding the inverse of A;…

A: Given: Matrix iteration to find inverse of A, Bn+1=Bn(2I-ABn) (a) To show that the iteration is…

Q: [1 4 21 (a) (i) Evaluate the determinant of a matrix A = 0 1 2 by cofactor expansion 1 2 3 along the…

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Q: 5. Find the cofactor matrix for A = and use it to find A- 6. Find the cofactor matrix for and use it…

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Q: 1 2 4 Let A be a 3×3 matrix A = 0 0 3 then the determinant of the 0 0 -1 matrix A17 + A10 – I is

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Q: 3 2 2 01 5 -4 1 Find the determinant of the matrix 4 -5 3 7 2 by the cofactor method. 3 L4 2 3 0- O…

A: det(A)=sum of  multiplication of elements and its corresponding co factors of any row or any column

Q: 2. H -1. Use the matrix formed by {₁, 2, V3} to 5 determine whether the {₁, 2, 3} spans R3. Explain…

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Q: (1 2 4 Let A be a 3x3 matrix A = 0 0 3 then the determinant of the 0 0 -1 matrix A17 + A10 – I is

A: Here given that A be a 3×3 matrix A=1  2   40  0   30  0-1 We have to find the determinant of the…

Q: ANSWER 21 8. Give the adjoint of the cofactor matrix of A, if A =|-2 -1 0 5 - 1] 6 1 ANSWER

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Q: For a matrix C 8 Arg(a + bi). (8) Select one: O True O False in real canonical form (real normal…

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Q: Consider the Following matrix A= 2 3 4 a) Find all the eyenalues and eigenvectors b) Find the…

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Q: 1 1 3 2 1. Let B 3 1 3 4 2 2 -1 4 -3 1 Solve the determinant using a. Chios Method b. Expansion of…

A: (b) Expansion of Column 2

Q: Answer the following. Show the solution. 2 -2 -4 A = |-2 1 4 51 1. Eigenvalues of matrix A. 2.…

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Q: For the Matrix  A= (  7    2    5 )                                       (   3    1     4 )…

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Q: [1 1 1 x is invertible. %3D Determine the values of x so that the matrix A

A: To determine the value of x so that the matrix A=11x1xxxxx is invertible. Solution: A matrix is…

Q: if A= 3+3i and A = 3- 31 are two eigenvalues of 2*2 matrix A then the determinant of A equal %3D…

A: C option is correct and Explanation of the answer is as follows

Q: 18. Find the determinant of 5 1 4. 1 -2 -3 1 1 1 -4 LAF 2260

A: Given

Q: if 21 = 3+3i and 22= 3- 3i are two eigenvalues %3D of 2*2 matrix A then the determinant of A equal…

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Q: Q.4 Solve using Cramer's rule and inverse matrix method for the following equations 3x + 3y -1 = 0…

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Q: |1 2 1 The determinant of the matrix 0 1 2 is lo 1 21 Select one: О а. 1 O b. 0 О с. 2 O C.

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Q: 4 Find the spectrum of the matrix A 1 -1 Enter the answers in descending 1(A) = { Ex: 5 3 } order.

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Q: 30 2 1 11 1 2 0 1 2 1 0 113 6 0 2 1 4 2 3 2 1 0 2 4 2 1

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Q: 2 1 Let A = Show the details of two different methods [(1) using the adjoint and determinant, (2)…

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Q: [211 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L= -2. L3 2 1

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Q: (ii) 3p – 2q 19 4p + 5q = 10 Find p and q using inverse matrix method and cramers rule %3D

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Q: Q5) find the inverse of the following matrices: sin(0) lo 31 ,b) B = [ ]. •) R = [ coS(0) sin(8) 2…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 1. Find all the cofactors of the matrix A and use it to find the inverse of A. If b = |2, and Ax=b,…

A: Here we find cofactor of A then we find inverse and it's solution.

Q: 1 2 3 A = 0 2 1 4 1 1 etermine whether the matrix 4A has an inverse by finding whether the…

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Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

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Q: Г1 2 1 A = 3 1 -2 Let |1 0 1 Find the cofactor matrix C and the inverse matrix A'.

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Q: 2 3- 1- If A = where aij is the cofactor of aij, the a12 = 1,2 or 8 -1 4.

A: We have to apply simple matrix rules for the given problem

Q: Let the matrix M be given by cos o - sin M : sin ø COS O (i) Is the matrix M invertible? (ii)…

A: To show that the matrix M is invertible and to find the inverse of the matrix M.