Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). [ -8 2 A 16 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) {...

Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T).<br>[<br>-8<br>2<br>A<br>16<br>0 19<br>(a)<br>ker(T) (If there are an infinite number of solutions use t as your parameter.)<br>{<br>(b) nullity(T)<br>1<br>(c)<br>range(T)<br>R2<br>O {(16s, 8t, 19s – 2t): s, t are any real number}<br>O {(s, 0): s is any real number}<br>O {(0, t): t is any real number}<br>O R3<br>(d) rank(T)<br>2<br>

Extracted text: Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). [ -8 2 A 16 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) { (b) nullity(T) 1 (c) range(T) R2 O {(16s, 8t, 19s – 2t): s, t are any real number} O {(s, 0): s is any real number} O {(0, t): t is any real number} O R3 (d) rank(T) 2

Jun 05, 2022

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Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). [ -8 2 A 16 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) {...

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