Mathematics, 29.06.2019 16:00 gjfhjgg2848
Let t: p3→p3 be the linear transformation such that t(â’2x2)=3x2+4x, t(0.5x+3)=â’3x2+3xâ’4, and t(2x2â’1)=â’3x+4. find t(1), t(x), t(x2), and t(ax2+bx+c), where a, b, and c are arbitrary real numbers.
Answers: 1
is linear to find 
. First, we notice that
, we can determine 
and 
. We have
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Let t: p3→p3 be the linear transformation such that t(â’2x2)=3x2+4x, t(0.5x+3)=â’3x2+3xâ’4, and t(...
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