Linear Algebra 2.14 What sizes are P and Q in the equation PHQ? 2.14 What sizes are P and Q in the equation PHQ?
Linear algebra [ a b c] 3. Let A= | p q r . Given that det(A) = -2, | 1 y 2 23a - p2p (a) evaluate the determinant y 3b – 9 29 z 3c -r 2r (b) evaluate det(2A²A+ A-?).
Linear Algebra 10. [10 points] Consider the plane P represented by the equation 2z+3y-2z = 0. (a) Find a basis for P. (b) Find a basis for the intersection of P with yz-plane
Using FTLM. a) Let . Use linear algebra to prove that there is a polynomial such that p + p' - 3p'' = q. Hint: consider the map defined by Tp: p + p' - 3p'', and use FTLM. b) Let be distinct elements of . Let be any elements of . Use linear algebra to prove that there is a such that Hint: consider the map defined by . You can use any facts from algebra about the solution...
linear algebra 3. Determine whether the function (p,q)= a, b + ab + ab, where p(x) = 4, + ax + ax and g(x)=bo bat checking the following axioms of the definition of an inner product: 40 72x+ax and g(x)=b, +bx+b.rbelong to P2 represents an inner produd A) (5,8)=(8,8) B) (f, g+h)=(5,8)+(f,h) C) c(f,)=(cf,8) for any scalar c D) (f, f)20, and (f, f)=0 if and only if f(x)=0
Given the estimated demand function equation 2.2 for coffee, Q=8.5-p+0.1y, use algebra to show how the demand curve shifts as per capita income, y, increases by $10,000 a year.
Exercise1 Decide if these matrices are matrix equivalent 4 2 1. Find the canonical representative of the matrix-equivalence class of each matrix. 0 0 0 4 1. What sizes are P and Q in the equation H - PHQ? 1. Show that matrix-equivalence is an equivalence relation What are the matrix equivalence classes of matrices of transformations on R1? on R3 Exercise1 Decide if these matrices are matrix equivalent 4 2 1. Find the canonical representative of the matrix-equivalence class...
Swinburne University of Technology F&P MTH20013 Linear Algebra & Applications Q.7 3+3+3312 Marks i. Suppose that U is a vector pointing north-west with u -12. nit vector i points towards the east and the unit vector j points north) the vector in Cartesian form u = ai + bj
linear algebra 1. Suppose that A, B, C, D, E are matrices of the following sizes: А B с D E (4 x 5) (4 x 4) (5 x 2) (4 x 2) (5 x 4) Determine whether the expression is defined and, if so, the size of the resulting matrix. (a) EAC (b) AC + D (c) E(5B + A) Bi and S(T) = Dr. Is the (d) Suppose T, S are matrix transformations defined by T(T) composition To...
Use boolean algebra to reduce; qm+q!p+q!m+!q!m+!mp
linear algebra Use the matrix P to determine if the matrices A and A' are similar. P = 15 9 -20 -11 1 p-1 p-1AP = Are they similar? Yes, they are similar. No, they are not similar.