Find the standard matrix for the following transformation t : r4 → r3: t(x1,x2,x3,x4) = (x1 −x2 +x3 −3x4,x1 −x2 +2x3 +4x4,2x1 −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 ⃗x ∈ r4 such
that t (⃗x) = (−1, −4, 1). (c) what is the range of t?

the answer is

a.

x = 42

y = 10

i got it down chief.

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

read more on -