is a subspace of R³. (1) Prove that B = { (2) Let 0.0 V = {₂1 + 2 + 3 = 0} 3/ 868 } is a basis for V. -1 3 2 A 0 3 -3, P

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Is A Subspace Of R 1 Prove That B 2 Let 0 0 V 1 2 3 0 3 868 Is A Basis For V 1 3 2 A 0 3 3 P 1 (22.46 KiB) Viewed 25 times

is a subspace of R³. (1) Prove that B = { (2) Let 0.0 V = {₂1 + 2 + 3 = 0} 3/ 868 } is a basis for V. -1 3 2 A 0 3 -3, Prove that Ax EV for any x E V. (3) Following the notation of parts (1) (2), we see that T(x) = Ax defines a linear transforma- tion on V. Find the matrix for T relative to the basis B.