Find the coordinate matrix of x in Rn relative to the basis B'.B' = {(8, 11, 0), (7, 0, 10), (1, 4, 6)}, x = (−3, 30, −18)
Question
Solution 1
To find the coordinate matrix of x in Rn relative to the basis B', we need to solve the following system of linear equations:
8a + 7b + c = -3, 11a + 0b + 4c = 30, 0a + 10b + 6c = -18.
This system of equations can be written in matrix form as:
[8 7 1] [a] [-3]
[11 0 4] [b] = [30]
[0 10 6] [c]
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Find the coordinate matrix of x in Rn relative to the basis B'.B' = {(8, 11, 0), (7, 0, 10), (1, 4, 6)}, x = (−3, 30, −18)
Find the coordinate matrix of x in Rn relative to the basis B'.B' = {(4, 3, 3), (−11, 0, 11), (0, 9, 2)}, x = (26, 3, −19)[x]B' =
Find the coordinate matrix of x in Rn relative to the basis B'.B' = {(5, 0), (0, 9)}, x = (15, 63)
If T : Rn → Rn is given by T (x1, x2, ..., xn) = (x2 + x3, x3, ..., xn, 0) then write downthe matrix of T w.r.t. the standard basis of Rn
. 0 ∈ ∅ 2. ∅ ∈ {0} 3. {0} ⊆ ∅4. ∅ ⊂ {0} 5. {∅} ⊆ {∅} 6. {0} ⊆ {0}7. ∅ ∈ {∅} 8. {∅} ∈ {{∅}} 9. {∅} ⊂ {∅, {∅}}10. x ∈ {x} 11. ∅ ⊆ {x} 12. ∅ ∈ {x}Lec 2 TS 5