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

Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1 1 0 k- 4 -k + 5 is not diagonalizable over C. k (Enter your answers as a comma separated list.)

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Q: Find the matrix of the quadratic form. Assume x is in R2. a. 1x21 – 4x1x2 + 5x22 b. 3x21 + 2x1x2

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Q: |adjA| = |A]"=1 n-1

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Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: Use the given definition to find f(A): If f(x) = a, + a,x + a,x2 + ... + a,x" is a polynomial…

A: We have to find f(A).

Q: Use the given definition to find f(A): If f(x) = a, + a,x + a2x + - ax is a polynomial function,…

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

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Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

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 the matrix of the quadratic form. Assume x is in R3. a. 3x12 + 2 x22 – 5 x31 - 6x1x2 + 8x1x3 -…

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Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Choose the correct:  If A is square matrix such that              A2= A, then (I + A)³ – 7 A is…

A: Given that, A is a square matrix

Q: Find the transpose of the matrix.

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Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: Find the matrix B such that 2AT+3B=0.

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Find the inverse of the matrix, if it exists. A = Cmatrix ((0 -1)(-3 6)) Select one: [-1 0 O B. -1…

A: To find inverse of the matrix.

Q: Let p and q be nonnegative integers and let A be a square matrix. Show that Ap Aq = Ap+q and (Ap ) q…

A: We have, p and q be non-negative integers and let A be a square matrix. Consider ApAq. Since p and q…