P3 (coordinates and basis) Let ra M = = 2f,b = 2g +h,c = 3g - i,d = g+i, e = 3h e g h il a) What is maximal possible dimension of the vector space M? What is the actual dimension? b) Determine a basis for M [2 7 c) Determine coordinates of vector A = 6 9. 1 with respect to that basis. L2 3 4]

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P3 (coordinates and basis) Let
b
d e f:a =2f, b = 2g + h,c = 3g – i, d = g+ i, e = 3h
h i
M =
I
a) What is maximal possible dimension of the vector space M? What is the
actual dimension?
b) Determine a basis for M
[2
c) Determine coordinates of vector A = 6
7 21
1 with respect to that basis.
9.
12
3
41
Transcribed Image Text:P3 (coordinates and basis) Let b d e f:a =2f, b = 2g + h,c = 3g – i, d = g+ i, e = 3h h i M = I a) What is maximal possible dimension of the vector space M? What is the actual dimension? b) Determine a basis for M [2 c) Determine coordinates of vector A = 6 7 21 1 with respect to that basis. 9. 12 3 41
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