subject
Mathematics, 03.12.2019 20:31 lnr919

Gif a is a real n×n matrix, then we have seen that < v, w > a: = v t ∗a∗ w defines a bilinear pairing on r n which is symmetric iff a is a symmetric matrix. if a is symmetric, we call a positive definite iff < v, v > a > 0 for all 0 6= v ∈ r n (in other words, < −,− > a is an inner product on r n). a) [1 pt] suppose b is the matrix given by b = 1 1 1 2 and x = [x1 x2] t ∈ r 2 . find an expression for x t ∗ b ∗ x in terms of x1 and x2. b) [1 pt] using your work in part a), show that the matrix b above is positive definite.

ansver
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:30, brennanjb00
Jorge planted flowers in his garden he planted one row of 12 tulips and one row of 36 daisies george's friend kylie has a garden with 75 flowers in it kylie's garden only contains tulips and daisies. is it possible for kylie‘s garden she have the same ratio of tulips to daisies as george's garden?
Answers: 1
image
Mathematics, 21.06.2019 17:00, zacksoccer8279
Me! last question, and i'm stuck! write the algebraic expression that models the word phrase. the product of 2 divided by the number h and 8 more than the number k
Answers: 1
image
Mathematics, 21.06.2019 17:10, ieyaalzhraa
The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable
Answers: 2
image
Mathematics, 21.06.2019 19:00, callmedarthvadorplz
Which expression is equivalent to 3^3 + 2^2?
Answers: 1
You know the right answer?
Gif a is a real n×n matrix, then we have seen that < v, w > a: = v t ∗a∗ w defines a bilinear...

Questions in other subjects:

Konu
History, 15.01.2021 19:20
Konu
Mathematics, 15.01.2021 19:20
Konu
Mathematics, 15.01.2021 19:20
Konu
Chemistry, 15.01.2021 19:20