Question

42 - 2x + 3 a coordinate vector with respect to the following 4. Write the vector bases for P2 (A) B = {x, x,1) (b) B2 = {1,2,2) (c) B = {22+2, 2+1,1}

Answer 1

Question (a)

.

write all 3 vectors in the matrix

vector v is

system Ax=v is

solution is

so here coordinate vector is

.

.

.

.

Question (b)

.

write all 3 vectors in the matrix.

vector v is

system Ax=v is

solution is

so here coordinate vector is

.

.

.

Question (c)

.

write all 3 vectors in the matrix.

vector v is

system Ax=v is

augmented matrix is

the solution is

so here coordinate vector is

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