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Q: Make example about  matrices and determinants method

A: Solution:- Matrices are the ordered rectangular array of numbers, which are used to express linear…

Q: If Q1 and Q2 are orthogonal matrices, show that their product Q1 Q2 is also an orthogonal matrix.…

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Q: (а) 2x + 3y + z = -1 Зх + Зу + г 1 %3D 2х + 4y + 2 -2 %D

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Q: By trial and error find real nonzero 2 by 2 matrices such thatA2 = -I BC=O DE= -ED (not allowing DE=…

A: In this question, we have to find real non zero 2 by 2 matrices A, B, C, D and E by trial and error…

Q: Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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Q: Ouestoon = Find the inverse of the matrix with A'= Adj A A= -2

A: The objective is to find inverse of the given matrix using the given formula Given:

Q: rmine which of the following matrices is orthogonal. V3 1 (a) (b) V3 0. V3 1- [1 -1 (c) 1 -1 (d) (e)…

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Q: Let A be an (m n) matrix then nullity(A) + rank(A) = = m. False O True

A: The objective is to find true or false of the above statements.

Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: Find the 3x3 matrix that induces the described action on R3. Rotates the xy plane by 30 degrees,…

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Q: Describe all matrices which satisfy det(-A) = -det(A).

A: Assume a square matrix A of order n

Q: Why does no 3 by 3 matrix have a nullspace that equals its column space?

A: To show why does no 3×3 matrix have a null space that equals its column space. We know the…

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

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Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: Consider the matrix in the image (i) Determine the inverse matrix B^−1 , of B. (ii) Using the…

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Q: Suppose

A: See the attachment

Q: Prove that a matrix with a column of zeros cannot have an inverse.

A: Prove that a matrix with a column of zeros cannot have an inverse.

Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Find the rank and the nullity of the matrix -2 -4 -2 -7 -1 -2 -2 -6 A 1 1 4 -1 -2 -1 rank(A)…

A: Given :-2-4-2-7-1-2-2-61214-1-2-1-4

Q: [1 2) 13 · X = 2-

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Q: Let A and B be two n x n matrices. Call A and B simultaneously diagonalizable, if there is a single…

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Q: Factor these two matrices into A = XAX-¹: 4 = 3 A [

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Q: Describe all 1 by 1 and 2 by 2 Hermitian matrices and unitary matrices.

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Q: Find all 2 by 2 matrices that satisfy AA^t=O

A: Since it is given, AAT=0  multiply by A-1 from the left A-1AAT=A-10 AT=0  which implies A is not…

Q: Examplen' find the pvoduct of the follow ing (wo natricesi 2. 2. ら 1. 又3 3.

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Q: Calculate AB by two methods, first performing 2 matrix-vector multiplications and second by row-…

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