please help a) Let (1 2 2 A= 2 -2 1 1-8 -4 -7) Calculate AP,...

Question

Question

please help
a) Let (1 2 2 A= 2 -2 1 1-8 -4 -7) Calculate AP, and hence find a quadratic polynomial m(2) such that m(A) = 0.

math algebra

Answer 1

Answer #1

a) Let 1 2 2 A = |2 -2 1 - 8 - 4 - 7 Calculate AP, and hence find a quadratic polynomial m(2) such that m(A) = 0. 1 1 2 2 V 1

Answer 2

Similar Homework Help Questions

Let p(x) be a real polynomial of degree 4, You are given that p(-7-5 i) = 0. the box below using ...

How to find quadratic factor? Let p(x) be a real polynomial of degree 4, You are given that p(-7-5 i) = 0. the box below using Maple syntax. (Don't forget to use for mulitplication.) A real quadratic factor of p(x) is Let p(x) be a real polynomial of degree 4, You are given that p(-7-5 i) = 0. the box below using Maple syntax. (Don't forget to use for mulitplication.) A real quadratic factor of p(x) is
2 5 Do the vectors u = and v= 3 7 span R3? -1 1 Explain! Hint: Use Let a, a2,ap be vectors in R", let A = [a1a2..ap...

2 5 Do the vectors u = and v= 3 7 span R3? -1 1 Explain! Hint: Use Let a, a2,ap be vectors in R", let A = [a1a2..ap The following statements are equivalent. 1. ai,a2,..,a, span R" = # of rows of A. 2. A has a pivot position in every row, that is, rank(A) Select one: Oa. No since rank([uv]) < 2 3=# of rows of the matrix [uv b.Yes since rank([uv]) =2 = # of columns of...
Please help! Will rate! 1. [7pts) Let [ 3 1 -2] 1AlleAmax (ATA) A= ? P(ATA)-...

Please help! Will rate! 1. [7pts) Let [ 3 1 -2] 1AlleAmax (ATA) A= ? P(ATA)- 12-324 +1314-100 -2 -1 3 | Compute || A ||1 , || A ||2 and || A ||co. For || A ||2 you may use the fact that 1 = 1 is an eigenvalue of A? A hence (1 – 1) is a factor of the characteristic polynomial of A? A.

Need Help ASAP!!!! Subject: Linear Algebra (a) Let A= r 7 T 5 2 4 0...

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.
Please help with these 4 from my linear algebra study guide, thank you! 1. Let -1...

Please help with these 4 from my linear algebra study guide, thank you! 1. Let -1 A= -1 1 -2 3 -2 3 4 2 (a) Find a basis for Col(A). (b) Find a basis for Null(A). 2. Show that 1 -4 1 0 9 BE { 2 -5 5 -7 is a basis for W, where W= 2s - 5t 3r + 8 - 2t r - 4s + 3t -r + 2s ER:r, 8, ER 3. Let A=...
Please show the detail, thank you! (1 point) (a) Let -4 -7 -2 -4 V1 =...

Please show the detail, thank you! (1 point) (a) Let -4 -7 -2 -4 V1 = and V2 = 1 6 0 2 and let W = span{V1, V2}. Apply the Gram-Schmidt procedure to vi and V2 to find an orthogonal basis {uj, u2 } for W. uj = U2 = -13 2 (b) Consider the vector v = - Find V' E W such that || V – v' || is as small as possible. 15 8 V =...

1 4 2 1 7.[12pts) Let A = 0 1 1-2 -8 -4 -2 (a) Find...

1 4 2 1 7.[12pts) Let A = 0 1 1-2 -8 -4 -2 (a) Find bases for the four fundamental subspaces of the matrix A. Basis for n(A) = nullspace of A: Basis for N(4")= nullspace of A": Basis for col(A) = column space of A: Basis for col(A) = column space of A': () Give a vector space that is isomorphic to col (A) N(A).
Let A = 4 0 0 2 1 2 1 2 1 (a)(4 marks) Find the...

Let A = 4 0 0 2 1 2 1 2 1 (a)(4 marks) Find the eigenvalues of A. (b)(2 marks) Explain without any more calculations that A is diagonalisable. ((7 marks) Find three linearly independent eigenvectors of the matrix A. (d)(2 marks) Write an invertible matrix P such that -100 P-AP=0 40 0 0 3
Problem 4. (i) Let R> 2/14Z and consider the polynomial ring R[d]. Let A(z) 4 +...

Problem 4. (i) Let R> 2/14Z and consider the polynomial ring R[d]. Let A(z) 4 + 2r3 + 3r2 + 4x + 5 and B(x) 37 be elements of R]. Find q(x) and r(x) in R] such that: A(x)-q(z)E(z) + r(z) and deg(r) < 2. (2pts) (ii) Let R- Z/11Z, write down the table of squares in R as follows. For every a E R (there are 11 such elements), find a2. Here you are required to express the final...

Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A us...

Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...