Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

Q: Q7: Solve for matrix X in the matrix equation 3X + B = C , where B and C are B -10

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Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: 3. Express this system of equations in matrix form. a1 – b, P1 + e, P2 -c, + d,P Qai Qs1 Qai Qsl Qa2…

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Q: z = xªy€ – 2x^y³ x = y = 8s3 a – The first digit of your matrix number c - The last digit of your…

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Q: What is the rank of the matrix?

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Q: For the matrix A = 4    5    8                               2     3    6…

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Q: (b) Find the adjoint matrix of M = ! 4 -2

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Q: Find Aes, Aso, c, 25 for the matriX

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Q: Q2: Find the determinant of 3x3 Matrix. 5 7-8 4-36 1 7-9

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Q: -2 Find C2, where matrix C = [3/2 c. Lis 22! d. Lio 21 101 а. 15 l10 22] 3 b.;

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Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: * For the matrix shown, calculate - 1 1 6 3 4 1 2A , where A = 1 3

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Q: Determine the matrix if it is a linear combination of O A.c = 5; d = 8 O B. c = -5;d =8 O C.c = 8; d…

A: 12cd = a1-1-1-1 +b3159 + m41611 + n-1234 Therefore, we get a+3b+4m-n = 1…

Q: 4 For matrix A = 12 ). if g(X) = X? + 4x+ 2,what is the answer to g(A)?

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Q3/For the matrix (A) Find the A25 4 -51 A= -2.

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: f the matrix 4 3 7 0 51 ¹2 + 3 8 10 8 102

A: Determinant=1757

Q: For the matrix A = 0   5   8                   Cofactor C21?                               4    5…

A: We have to find cofactor C21 for the given matrix: A=058452944 Cofactor is the minor matrix…

Q: Q4(a) Find a family of the matrices that is similar to the matrix 2. 3.

A: The given matrix Q is : Q=p-24-3 Consider a non singular matrix : A=1234 The similar matrix for Q=…

Q: For the matrix B    1 -2   9                    If B = 0, What is the value of y?…

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Q: Q3/For the matrix (A) Find the A25 4 -5 A= | 1 -2.

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Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

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Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: Q1: Solve the set of equations using matrix: x+ 2y +3z 1 y + 4z = 0 5x + 6y = 1

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Q: Q3. Diagonalise the matrix [A]. 4 33 [A] = 3 6 1 3 1 6

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Q: Q3. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse 5…

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Q: b. Solve the following set of equation by the use of the matrix inversion method 3x, -x, +x, = 2 2x,…

A: System of Linear equations.

Q: B) find the transpose of the matrix A C = 3 2

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Q: For Exercise, perform the elementary row operations on the matrix. [5 2 -3 6. -4. R1 →R|

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Q: For the Matrix       3   5  0 A-  2    5  4       2    5  0 what is the element in the first row and…

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Q: 4 For Exercise, perform the elementary row operations on the matrix A = | 1 5 -3 R3 →R3

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Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

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Q: Find the transpose of the matrix.

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Q: For the Matrix         4   5    8 A= 2   3    3       1   4    9 What is the value of the element in…

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Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: Q2.Find the rank of the matrix B. r1 -1 3- 4 B= 3 1 1 -1 1 1

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Q: Find values for the variables so that the matrices are equal.

A: we have to find the value of the variables so that the matrices are equal. x7=11y

Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

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Q: Q2: Given that A = .3 -2 = what is 2(A+ B)" in matrix form? and B

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Q: 7x+14] 1. What value of x satisfies the matrix equation Зх-2 x+8 5

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Q: (d) Find the coordinate matrix [x]g, given the coordinate matrix [x]g•. [x]B =

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Q: Find the transpose of the matrix. -1 1 D = 5 -3 -2 4

A: Given D=-115-3-24We know that transpose of matrix A=1234 is AT=1432

Q: WHe-the syftems of equations as an augmented matrix. 31=- -5x-31+57=-a 7-bx-5y42=- \e

A: to write the augumented matrix we will simply form a 3*3 matrix with co efficients of x,y and z in…

Q: Use the matrix P to determine if the matrices A and A' are similar. 15 9. 5 A' = -1 -1 P = 1 A = -20…

A: If the 2 matrices A and B are similar then B = P-1AP Further for a 2x2 matrix, if

Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

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