⎡a b b b b b⎤ ⎢b a b b b b⎥
⎢⎥ 5.LetA=⎢b b a b b b⎥.
⎢b b b a b b⎥ ⎢⎥
⎢b b b b a b⎥ ⎢b b b b b a⎥
⎣⎦
(a) Express the determinant of A in terms of a and b .
(b) Find all the eigenvalues of A and the corresponding
multiplicities.
could u use equations to explain what's happening here, especially
pls offer the detail of Gaussian elimination in (a )
Thank you!!
⎡a b b b b b⎤ ⎢b a b b b b⎥ ⎢⎥ 5.LetA=⎢b b a b b b⎥. ⎢b b b a b b⎥ ⎢⎥ ⎢b b b b a b⎥ ⎢b b b b b a⎥ ⎣⎦ (a) Express the determinant of A in terms of a and b . (b) Find all the eigenvalues of A and the co...
⎡a b b b b b⎤ ⎢b a b b b b⎥
⎢⎥ 5.LetA=⎢b b a b b b⎥.
⎢b b b a b b⎥ ⎢⎥
⎢b b b b a b⎥ ⎢b b b b b a⎥
⎣⎦
(a) Express the determinant of A in terms of a and b .
(b) Find all the eigenvalues of A and the corresponding
multiplicities.
pls offer the detail of Gaussian elimination in (a
)
Thank you!!
b b a b b...
Need Help ASAP!!!!
Subject: Linear Algebra
(a) Let A= r 7 T 5 2 4 0 1 i. Compute det A in terms of r. ii. Find all value(s) of z such that A is NOT invertible. (b) Let the characteristic polynomial of a matrix B be – 23 +22 +6%. i. Find the size of B. ii. Find all the eigenvalues of B including multiplicity. iii. Find the determinant of B.
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5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A....
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Tk 1 21 5 -5 k (a)...
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...