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Mathematics, 26.09.2019 23:30 tieragroff

Find the standard matrix for the following transformation t : r4 β†’ r3: t(x1,x2,x3,x4) = (x1 βˆ’x2 +x3 βˆ’3x4,x1 βˆ’x2 +2x3 +4x4,2x1 βˆ’2x2 +
x3 +5x4)
(a) compute t(e⃗ ), t(e⃗ ), t(e⃗ ), and t(e⃗ ).
1234
(b) find an equation in vector form for the set of vectors βƒ—x ∈ r4 such
that t (βƒ—x) = (βˆ’1, βˆ’4, 1). (c) what is the range of t?

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Find the standard matrix for the following transformation t : r4 β†’ r3: t(x1,x2,x3,x4) = (x1 βˆ’x2 +x...
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