O'Reilly logo

Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

8

image

Matrices and vector spaces

image

8.1  Which of the following statements about linear vector spaces are true? Where a statement is false, give a counter-example to demonstrate this.

(a)  Non-singular N × N matrices form a vector space of dimension N2.

(b)  Singular N × N matrices form a vector space of dimension N2.

(c)  Complex numbers form a vector space of dimension 2.

(d)  Polynomial functions of x form an infinite-dimensional vector space.

(e)  Series {a0, a1, a2, . . . , aN} for which form an N-dimensional vector space.

(f)  Absolutely convergent ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required