Let A be the matrix 5 3 2 Find p(A). p(x) = x³ – 2x + 4 p(A) =

Q: -1 Find all values of x such that the matrix 8 is not invertible.

A: A matrix is invertible, if the determinant of the matrix is not equal to 0 . Suppose a matrix B is…

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: 5. Consider the matrix 3 -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your…

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Q: Find the matrix X S uch thất 2A + B + X =0 where -1 2 3 -2 A = B = 4 Select one: a. -1 -2 -7 13 O b.…

A: Given 2A+B+X=0 From above  X=-(2A+B) We will find matrix X as follows

Q: Let A be the matrix 2 6 3 7 Find p(A). p(x) = x' – 2x + 4 i i p(A) = i

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Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: 3. Find x such that the matrix A is equal to its own inverse. 2 -3 A %3D 3

A: Given :  The given matrix is   A = -2-33x To find : We have to find x such that the matrix A is…

Q: Find values of a for which the following matrix is not invertible: 1 a+ a 2

A: 1a+1a-24

Q: Find x such that the matrix is singular. X 3 A = -7 2 X =

A: Singular Matrix - A matrix is said to be singular if and only if its determinant is equal to zero.

Q: Find x such that the matrix is singular. 4-[94] A

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Q: calculate e^A [0 -2] [2 0] *this is a 2x2 matrix

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Q: [x x2 1 (b) Determine the values of x so that the matrix A = 2 1 is invertible. -1

A: A matrix is invertible if and only if its determinant is non zero.

Q: Find x such that the matrix is singular. [ х 3 A = -9 8 X =

A: The given matrix is: A=x3-98

Q: 9. Solve the matrix equation C-A(X B) = D for X. Note that A, B, C, D, and X are all n x n…

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Q: Let -1 -1] 1 A = 15 -2 [(5a)] Find a 3 x 3 matrix P and a diagonal matrix D =|0 12 0 such that A =…

A: Here 3*3 diagonal matrix is nothing but matrix formed by eigen values of the given matrix. We first…

Q: Let p(x) = x³ – 2x + 4 and compute p(A). 1 -1 A = 0 0 -3 2 0 4 NOTE: Write the elements of the…

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Q: Q3:When possible, find an invertible matrix P such that P-1AP is a diagonal (2 2 3 matrix where A= 1…

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Q: 0 Find a non-zero 2 × 2 matrix A such that A? 0 0 A =

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Q: Let p(x) = x³ – 2x + 4 and compute p(A). - -- A = -3 2 4 NOTE: Write the elements of the matrix…

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Q: Find x such that the matrix is singular. A = -3 -4 X =

A: Matrix is said to be singular , if and only if the matrix has determinant is zero Det(A) = 0

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -2 00 A=-6 -2 6 -1 0 -1 3x3 3X3…

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Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: Find a 3 x 3 matrix A such that A A A A = 0 0 = 2 5 0 3 and

A: Given A100=-1-41,  A010=251  and A001=003

Q: Let p(x) = x³ – 2x + 4 and compute p(A). |2 A = |0 -3 4 NOTE: Write the elements of the matrix…

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Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: Find an invertible matrix P and a diagonal matrix D such that PAP-D. -6-3 9 A = 5 2 -5 -3 -3 6 3x3…

A: For this problem, first we will find out the eigenvalues of A and corresponding eigenvectors. Then…

Q: ^ = [1 ] A If A is diagonalizable, find an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D…

A: Given that the matrix A=0-440. If the given matrix is diagonalizable , find an invertible matrix and…

Q: Let A and B be square matrices of order 3 such that |A-| = x + 7 with x + -7 and |A * A" | = . What…

A: A and B are square matrices. Therefore, det(AB)=det(A).det(B) det(A)=det((A)T) We will use these…

Q: If A is a matrix that satisfies the following equation. Find: Trace(A-17I)^-1

A: Given,            A=pqrt-pq0082To find:  TraceA-17I-1

Q: Let A be the matrix 13 3 Find p(A). p(x) = x³ – 2x + 4 i p(A) = i

A: In order to solve this question, we just put the given matrix A into the given equation and simplify…

Q: (2a, Let A be a 3 x 3 matrix b b a A = %3D a a a a a Show that A is invertible if a +0 and a + b.…

A: Given that: (a)A=abbaabaaa(b)A=2ccccc87c

Q: Q1:When possible, find an invertible matrix P such that P'AP is a diagonal matrix where A=( .1 1

A: Simple procedure is shown below

Q: Let A be a 3 x 3 matrix such that A4 - 3A³+ 4A²- 613 = 0. Then, A is invertible and

A: Here we have to use the concept matrix.

Q: Let A be the matrix 4 2 7 6 Find p(A). p(x) = x – 2x + 4 i i p(A) =

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Q: (2a, Let A be a 3 × 3 matrix b b a A = a a a a a Show that A is invertible if a +0 and a + b. (2b,…

A: We need to prove and find value of c

Q: Let A be the matrix 8 Find p(A). p(x) = x – 2x + 4 i p(A) =

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Q: 3. Local pollution levels are determined by p(x;y) : R² → R', where x is the number of manufacturing…

A: 3. Given that, the Hessian matrix of p is H=6y-66x6x6y-6 Hessian matrix is of the form,…

Q: 1 1 0 1 Let A = and ,B= 2 1] |1 0 Find the matrix X for which it satisfies the equation A=BX 2 1]

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Q: Let A be the matrix 2 6 8 8 Find p(A). p(x) = x - 2x + 4 i i p(A) = i i

A: Let's find.

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: Q1: For given matrix A, find a 3 × 3 non-singular matrix P such that P-1AP is diagonal. 1 A =|-3 -5…

A: Given :-  For a given matrix A, a non- singular matrix P such that P-1AP is a diagonal. A =…

Q: Q3 Let A be n × n matrix that has zeros on the main diagonal and ones everywhere else. Example of a…

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Q: 10. Find the simetric matrix for the quadratic form Q(x1,x2,x3) = xỉ + 3x + x,x2 – x1x3

A: Since you have asked multiple question, we will solve the first question  for you. If you want any…

Q: A. [oa] a) Let A = 0 4 Find a find matrix P) diagonal matrix D so that PAP=D for some invertible…

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Q: Let A be the matrix 7 1 Find p(A). p(x) = x - 2x + 4

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Q: Use Cramer's Rule to solve the 3 x 3 matrix A- 3B + 7Z = 13 A +B +Z =1 A- 2B + 3Z = 4

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Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…