100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Math 218 Midterm Exam with Questions and Answers CA$11.54   Add to cart
Quickly navigate to
Preview
  2.  
  3. Math 218
  4.  
  5. Math 218

Exam (elaborations)

Math 218 Midterm Exam with Questions and Answers
 0 view  0 purchase
  • Course
  • Math 218
  • Institution
  • Math 218

Math 218 Midterm Exam with Questions and Answers square matrix ANSWER an m x n matrix is square if m = n the diagonal of a matrix ANSWER refers to the collection of (i,i) entries of the matrix upper triangular ANSWER refers to a matrix if every entry below the diagonal is zero lower tri...

[Show more]

Preview 2 out of 14  pages

Document information

  • November 15, 2024
  • 14
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • math 218 midterm exam with questions and answers

Written for

  • Math 218
  • Math 218

Seller

avatar-seller
wangithiannaw

Reviews received

Content preview

Math 218 Midterm Exam with Questions
and Answers
square matrix ANSWER an m x n matrix is square if m = n



the diagonal of a matrix ANSWER refers to the collection of (i,i) entries of the matrix



upper triangular ANSWER refers to a matrix if every entry below the diagonal is zero



lower triangular ANSWER refers to a matrix if every entry above the diagonal is zero



diagonal ANSWER refers to a matrix if every non diagonal entry is zero



diag(d1, .... dn) ANSWER is the n x n diagonal matrix w/ the diagonal d1, ... dn (everything
else is 0)



zero vector, zero matrix ANSWER vector or matrix that are full of zeros. can write O2 or
O4x3 for ex. (doesnt have to be square)



nonzero ANSWER a matrix or vector if at least one entry is nonzero



In ANSWER the n x n identity matrix which has ones on the diagonal and zeros everywhere
else



first pivot column ANSWER first non-zero column



rank one ANSWER every column is a multiple of the first pivot column

, vecotr in R^n ANSWER is a list of n coordinates organized vertically in a list



matrix m x n ANSWER R^(m x n)



scalar v product ANSWER vector w. scalar multiplied by each coordinate



vector addition ANSWER add up coordinates across the rows



scalar matrix products ANSWER multiply scalar by every coordinate in the matrix



matrix addition ANSWER add up coordinates with the same position. onlt matrices of the
SAME SHAPE can be added togehter



A^T ANSWER formed by interchanging rows and columns



transposition is ANSWER a linear operation meaning it can be distributed. so, (c1A1 +
c2A2)^T = c1At + csAt)



symmetric ANSWER sT = S, symmetry across the diagonal



trace(matrix) ANSWER the sum of its diagonal, matrix must be square, is a scalar, is a linear
operation (can be distributed and can take the scalar out)



linear combination ANSWER gives you a vector, in the form: scalar1*v1 +
scalar2*v2...+snvn

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller wangithiannaw. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$11.54. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75323 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$11.54
  • (0)
  Add to cart