Let B = left{ begin{bmatrix} 1 -2 end{bmatrix}

smileycellist2 2021-01-19 Answered

Let B={[12],[21]} and C={[21],[13]}
be bases forR2. Change-of-coordinate matrix from C to B.

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Expert Answer

Roosevelt Houghton
Answered 2021-01-20 Author has 106 answers

Given that B={[12],[21]} and C={[21],[13]} Let x, y are scalare such that [21]=x[12]+y[21] clearly x=1,y=0
[21]=0[12]+1[21](c) and [13]=2[12]+y[21]
=1[13]=[x+2y2x+y]
x+2y=1,2x+y=3 Solving above equation 2x+4y=22x+y=35y=5y=1 pul y=1x+2y=1
x+2=1
x=1
[13]=(1)[12]+1[21](d) from c, d Transition matrix of C over D [T]C,B=[0111]

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