In Exercises 19 through 24, find the matrix B of the linear transformation T ( x → ) = A x → with respect to the basis = ( v → 1 , v → 2 ) . For practice, solve each problem in threeways: (a) Use the formula B = S − 1 A S , (b) use a commutative diagram (as in Examples 3 and 4), and (c) construct B “column by column.” 19. A = [ 0 1 1 0 ] ; v → 1 = [ 1 1 ] , v → 2 = [ 1 − 1 ]
In Exercises 19 through 24, find the matrix B of the linear transformation T ( x → ) = A x → with respect to the basis = ( v → 1 , v → 2 ) . For practice, solve each problem in threeways: (a) Use the formula B = S − 1 A S , (b) use a commutative diagram (as in Examples 3 and 4), and (c) construct B “column by column.” 19. A = [ 0 1 1 0 ] ; v → 1 = [ 1 1 ] , v → 2 = [ 1 − 1 ]
Solution Summary: The author explains how the matrix B of the linear transformation can be found by B=S-1AS where matrix S is obtained from basis vectors.
In Exercises 19 through 24, find the matrix B of the linear transformation
T
(
x
→
)
=
A
x
→
with respect to the basis
=
(
v
→
1
,
v
→
2
)
. For practice, solve each problem in threeways: (a) Use the formula
B
=
S
−
1
A
S
, (b) use a commutative diagram (as in Examples 3 and 4), and (c) construct B “column by column.”
19.
A
=
[
0
1
1
0
]
;
v
→
1
=
[
1
1
]
,
v
→
2
=
[
1
−
1
]
In circle T with m, angle, S, T, U, equals, 168, degreesm∠STU=168∘ and S, T, equals, 12ST=12, find the area of sector STU. Round to the nearest hundredth.
(±³d-12) (−7+ d) = |||- \d+84
(z-
= (-2) (→
Use the FOIL Method to find (z —
· -
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY