Let T: R2 -> R2 be a linear transformation defined by T(x1 , x2) = (x1...

Let T: R² -> R² be a linear transformation defined by T(x₁ , x₂) = (x₁ + 2x₂ , 2x₁ + 4x₂)

a. Find the standard matrix of T.

b. Find the ker(T) and nullity (T).

c. Is T one-to-one? Explain.

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Expert Solution

milcah answered 1 year ago

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