-4 Find the change-of-coordinates matrix from B to C. - 10 Let B- (b, (b.b2) and C- (c,,©2} be bases for R², where b, = and c2

Q: a Verify that det EA = (det E)(det A), where E is the elementary matrix shown and A =

A: E=1k01  A=abcd

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A:

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A: Given -10-20-31

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A: Solving

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Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0…

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Q: 5 -1 5 1 6. -1 6 2

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Q: Let A be Sxó matrix. Knowing that Nullity (A) = 2. Then Rank(A) is equal to: * Non

A: Introduction: According to the rank-nullity theorem, Rank(A)+nullity(A)=number of columns in A Where…

Q: Find the characteristic equation of the matrix by inspection. 2 -5 9 6 -3 0 0 4 0 0 8

A: Given that: 2-5960-30000400008 The characteristics equation is given by the formulas, detA-λI=0

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Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

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A: Answer is in next step.

Q: erse of the given matrix

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A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: What is the transpose of matrix M=(-1,0,2)(0,-3,1)?

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Q: 3 (i);- 2

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Q: I1,I2,I3 of th

A: Here we have;  11I1+4I2+3I3=-4-15I1+4I2+4I3=163I1+4I2+17I3=3 let;  AX=B  where  A=1143-15443417,…

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Q: 1- the rank of the matrix A.

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A: To find the matrix

Q: solve for matrix Colfficients A. CCX=l,y=l-),2=0]] 3.CCx=1,y=1,2 =]] CCa--4),-(-1をこ0 CCX=3,y=3,=)…

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A: