Algebra Archive: Questions from June 25, 2022
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Let T: R³ a) T(x, y, z) = (x, 2, z + y) b) T(x, y, z) = T(x, y, z) = T(x, y, z) = c) 4 R³. Which of the following functions is a linear transformation? d) (0, x + y, z) (x,x² + y, y-z) (x², y, x -
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Let T:R3→R2 be defined by
T(x,y,z)=(3x+2y+2z,5x+3y+6z).
If the vector v⃗ =(α,β,7) belongs to the kernel of T then the value
of α+β is:
Sea T : R³ → R² definida por T(x, y, z) = (3x + 2y + 2z, 5x + 3y + 6z). Si el vector v = (a, ß, 7) pertenece al núcleo de T entonces el valor de a + ß es:
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