Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

(&.92t V={p(x)/p(x)=i=00cxi,p(a)=0} be set of all polynomials of degree less than or equal to 5 with a as its root with usual scalar multiplication and

image text in transcribed

(\&.92t V={p(x)/p(x)=i=00cxi,p(a)=0} be set of all polynomials of degree less than or equal to 5 with a as its root with usual scalar multiplication and polynomial addition. Is V a vector space? Justify. If yes, find a basis for V (b) Let V={AM22(R)/A1 exists } be set of all invertible real matrices of order 2 with usual scalar multiplication and matrix addition. Is V a vector space? Justify. (c) If we replace matrix addition by matrix multiplication in the above set, is V a vector space? Justify. [3 Marks]

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Relational Database Design A Practical Approach

Authors: Marilyn Campbell

1st Edition

1587193175, 978-1587193170

More Books

Students also viewed these Databases questions

Question

6. What would be the costs and benefits of taking these steps?

Answered: 1 week ago

Question

I am paid fairly for the work I do.

Answered: 1 week ago

Question

I receive the training I need to do my job well.

Answered: 1 week ago