Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Define the product of two matrices A and B. When is this product defined?

Short Answer

Expert verified

Product of matrix: Number of columns in the first matrix = Number of rows in the second matrix.

Step by step solution

01

Step: 1 Introduction of matrix and binary operation

Matrix multiplication is a binary operation that produces a matrix from two matrices. The resulting matrix, known as the matrix product, has the number of columns of the first and number of rows the second matrix. The product of matrices A and B is denoted by AB.

02

Step: 2 Matrix multiplication

Finding the product of two matrices is only possible when the inner dimension is the same; meaning that the number of columns of the first matrix is equal to the number of columns of the first matrix is equal to the number of rows of the second matrix.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free