2. Let L: R³ R³ be a linear transformation and defined by X₁ +5x₂ + 4x3 + 3x4 +2x5 L(x)= Ax= 2x1-3x2+5x3+6x4 +8x5 x₁ +7x
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2. Let L: R³ R³ be a linear transformation and defined by X₁ +5x₂ + 4x3 + 3x4 +2x5 L(x)= Ax= 2x1-3x2+5x3+6x4 +8x5 x₁ +7x
2. Let L: R³ R³ be a linear transformation and defined by X₁ +5x₂ + 4x3 + 3x4 +2x5 L(x)= Ax= 2x1-3x2+5x3+6x4 +8x5 x₁ +7x2+8x3+10x4 + 12x5/ where x = (x₁, X2, X3, X₁, X5). (1 0 0 -121/46 -5) rref(A) 0 1 0 -21/46 -1 001 91/46 3 (a) (3 pts) Find ker(L) and nullity(A). (b) (3 pts) Find im(L) and rank(A).
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