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

Q: For the matrix A, find (if |

A: Given,          A=2-250  3-20-12

Q: Find the nullspace of the matrix

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Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

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Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: Express the quadratic form (c₁r1 + c₂2+...+Cnn)² in the matrix notation TA, where A is symmetric.

A:

Q: Determine whether the statement below is true or false. Justify the answer. If A is an mxn matrix…

A: I assume you know what is an argument matrix and what is rank of matrix .

Q: Find conditions on a, b, c, and d such that B = as attached commutes with every 2X2 matrix

A: B=abcd Let A=uvxw BA=au+bxav+bwcu+dxcv+dwAB=ua+vcub+vdxa+wcxb+wd Let BA=AB…

Q: The adjoint of the matrix (−3−2−1−1) is

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Q: Find x such that the matrix is singular. 4 A = -2 -6

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Q: The 2 ´ 2 identity matrix is:

A: To find:

Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1

Q: Write down the necessary conditions for the matrix B2*2 (2 ∗ 2 matrix) to have an inverse matrix.

A: Necessary conditions for a 2*2 matrix to have an inverse matrix.

Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

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

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Q: Give an example of a nonzero 2 X 2 matrix A such that A2=O

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Q: Find the symmetric matrix A associated with the given quadratic form.

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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: Find an SVD of the indicated matrix.

A: The matrix is given of which SVD is to be calculated so,

Q: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: Let A be an n × n matrix in which the entries of each row sum to zero. Find ∣A∣.

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Q: Find ∣A−1∣ for the matrix

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Q: Let If A is 2x2 matrix and /(4)=0, then %3D

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Q: Let A be an n × n matrix and let B = A + I. Is it possible for A and B to be similar? Explain.

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Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

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Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

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Q: Find the matrix corresponding to the quadratic form Q(x) = x + 2x1x2 + 2x1x3. Is Q positive…

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Q: The matrix X1 X = is called a vector.

A: We have to find

Q: Find the inverse of the matrix by Gauss-Jordan Elimination (using an adjoined matrix). (If an answer…

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Q: Determine whether the matrix is symmetric.

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Q: Find the symmetric matrix A associated with the given quadratic form. x1x2

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Q: Find a non-zero 2 × 2 matrix such that -5 -1 25

A: Let a 2×2 matrix be: abcd such that: -5-1255 abcd=0000

Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: Find a 2 x 2 matrix such that 5 1 1 0 2 1

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Q: Find the matrix X, such that XDC - 2XC — ХС? + С satisfies. 3 4 4 6 6 5 C = 1 2 1 D = 1 3 -2 4 -2 -4…

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Q: Find x such that the matrix is equal to its own inverse.

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Q: Find a matrix P that diagonalizes 1 0 0

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Q: Find a 2 × 1 matrix x with entries not all zero such that

A: Given: Ax=3x, where A=2112 let's assume matrix x is x=ab

Q: Find the inverse of the matrix and verify that A-!A = AA1- 1. 4--10 A 3D 2. 8. A-1 Show My Work…

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Q: .

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: Find the LU factorization of the matrix A, where 3 -5 2 -2 A = -1 -6 1 -4 1 2 1 2. 2.

A: Given matrix is A=−23−5232−22−1−61−1−4121. We have to find the LU-factorization of the matrix A. By…

Q: Find matrix C

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Q: Find a non-zero 2 × 2 matrix such that -5 -1 0 0 25 ||

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Q: Find the nullspace of the matrix given as; A=[1 -2 1; 2 -3 5; 1 0 7]

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

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Q: Give two examples of a matrix which is its own inverse (that is, where ?^-1 = ?)

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Q: Since it is, find the matrix P ^ -1 by using the adjoint matrix of the P matrix.

A: We are given that  We need to find the inverse of p-matrix