| 1 2 -1 4 | | 3 3 5 0 | | 2 1 1 3 | | 4 2 2 1 |

Q: Let C be an nxn matrix that satisfies C2 -3C–2In 0. Show that C is invertible and C=1 = }(31-A)

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Q: Find u and usuch that the null space for the matrix U= 3 v= 0 -2 1 1 -3 -15 1 - 9 1 is span{u, }.

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Q: Explain the conditions, how to find a fundamental matrix for the system?

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Q: Find the transpose, A^T, of te matrix.   A =     1 , 2 , 3            a , b , c          4x , 5y…

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: What is transformation matrix for reflecting over the y-axis? a. b. C. d. e.

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Q: what is a Hermitian matrix? does every Hermitian matrix has to be square matrices?

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Q: Let A = [–2 2]. If possible, find the entries of a matrix B that is NOT the identity, but still…

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Q: > LS A-8 null matrix ?

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Q: A)  Justify if the matrix A is diagonalizable.B)  Find a matrix T and a diagonal matrix J, such that…

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Q: find a matrix that column space is spanned by fewer vectors than there are columns in the matrix

A: The idea is the create a matrix such that one of the columns is in the linear span of the other two…

Q: A matrix is called skew-symmetric if A^T = −A. If A is a n × n matrix, then show the following: i.…

A: Solution:Given: is any matrixwe have to show that(i). The matrix is symmetric(ii). The matrix is…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

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Q: If A is diagonalizable through D= (P^-1) A P then the diagonal factorization of A = P D (P^-1)…

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Q: Use the following Zero-one matrices to find A v B, A^B, A ов 1 1 A = 1 1 B = 1 0

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Q: True or False? Justify your answer. a) Let A, B, and C be two square matrices of the same dimension…

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Q: Determine by inspection whether the given set of vectors is linearly dependent or independent. Do…

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Q: t A be the square matrix (abcd) A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then…

A: If  is a square matrix then its inverse is where

Q: Let A be a 2 by 7 matrix. Then -A is aby_matrix, and A is a-by-matrix.

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Q: S)Give an example of a matrix A such that A2 = I but A#I or A± -I.

A: There are so many examples.

Q: If there is conformability what are the dimensions of the product matrix?

A: let's matrix A and matrix B has dimension as  m×n and n×p respectively then dimension of matrix…

Q: do

A: As per our guidelines only first three sub questions are solved. For remaining sub questions kindly…

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

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Q: Let MS be the n × n matrix whose j th column is v j and let MT be the n × n matrix whose j th column…

A: Given: Here it is given an n×n matrix of Ms whose jth row is Vj as well as an n×n matrix MT whose…

Q: Give an example of a real square matrix that does not have an LU decomposition. Explain carefully…

A: Please see the below picture for detailed solution.

Q: What is a tridiagonal-matrix (TDM) equation?

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Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: Can the null space of a 3 × 6 matrix have dimension 2? Explain.

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Q: v that the matrix is invertible and find inverse of the

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Q: Construct a 3 x 4 augmented matrix, in reduced row echelon form, such that the solution set of the…

A: Since we have to construct 3×4 augmented matrix so we have 3 equations in 3 variables in a system of…