Determine whether the following set of matrices is linearly dependent and, if it is, write one matrix as a linear combination of the others { [1 1] , [1 -1] , [-1 -1] , [0,4] } [0 1] [0 -2] [-1 1] [-1 8]

Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: 1 2 -4 -8 (b) -2 -4, 8 16 This set is

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Q: Find the Inverse of Matrix A 6) -3 20 11 A = -6 15 32 3 -12 -19 A = %3D

A: Given A=-32011-615323-12-19

Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: Let A and B be two 4x4 matrices with rank(A)<4. Then rank(AB)=4. E ((C Select one: OTrue OFalse

A: We know that  Rank(AB) = min{rank A, rank B} Since Rank A &lt; 4

Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: Let A and B be 4 x 4 matrices. Suppose that |A| = 2 and |B| = 9. Write down the value of…

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Q: Determine the order of the following matrix: [[9,-5], [0,0]]

A: Order of the matrix is expressed as  Number of Rows X Number of Columns

Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

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Q: Find the inverse of the matrix: = 2 1 2 3 - 2 -2 0 0 -1 -1

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Q: = [2 1 3 -1 -1 -1 2

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Q: If A and B are nXn matrices, then (A-B) =A-2AB+B Select one:

A: A-B2=A-BA-B=A2-AB-BA+B2

Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: Determine the order of the following matrix:…

A: If a matrix is of order m×n then the matrix has m rows and n columns.