8 -2 -2 A -3 3 -6 3 15 Find a matrix S and a diagonal matrix D, such that S-1 AS = D. Hint: det(A – AI) = (9 – A)2(8 – X).

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: Q: Determine if the following system is consistant q using matrix ? X2 - 4X3 2X1 -3X2 +2X3 =l 5x,…

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Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

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Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Table Q4(b) is generated from the function f(x)=e* – 4x² + B , where B is the last two digits of…

A: here question has a mistake , though I correct it and solve it for you, here two different f(x) is…

Q: Example: f=(f¹, f²): R³ → R² (-6) T1I2X3 that is, f¹(x) = x₁²² and ƒ²(x) = 1₁T2Tz. Then the Jacobi…

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Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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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: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: SKIP The 4 x 4 matrix A satisfies the matrix equation A = 3A". Find all possible values for det A.…

A: We will use the following properties : (1) det(AT) = det(A) (2) det(AB) = det(A) det(B) (3) det(c•A)…

Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: If then which of the following are true? Select one: O det -2c 3 f -h -i -2a-2b 3d 3e [3a -b 2c det…

A: Given :        abcdefghi=3  If each element of a row (or a column) of a determinant is multiplied by…

Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: Consider the following function; Q(x1, x2, X3) = 2x? + 3x? – xž + 5x1x3 + x2x3 Find the matrix A…

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Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: matrix A if (A" – 21)* = } Determine the matrix A if %3D

A: Given,             12AT-2I-1=1234To find : The matrix A.

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: he matrix is Α = et result hitting · 230 1 -1 3 401 -1 Α Α ΑΑ

A: Topic:- matrix algebra

Q: Let A be a 3x6 matrix of rank 3 then nullity of A equal 0 Select one: O True O False

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Determine the rank of matrix A, where: A = 1 0 -1 39 0 0

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Q: Q2. Apply PA= LU to determine the following matrix A is nonsingular and find A-1: [1 -- -1 A = 2 3…

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Q: b) Evaluate det[(2A)-1 (3A")], where A is any invertible (2 x 2) matrix.

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