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# Mathematical Method Notes Chapter 06 – Vector Spaces

Vector Spaces notes of Mathematical Method chapter 6 for BSc/ADS students preparing for the end-of-term test. These observations are the result of extensive experimentation. In order for all students to readily prepare, we have tried to make these notes as simple as possible. For all officially accredited university students, vector space notes are beneficial. The crew at Study Medium is working hard to provide top-notch notes on mathematical method. if you have any questions comment below.

A collection of vectors that have been added collectively and multiplied (“scaled”) by numbers known as scalars is referred to as a vector space or a linear space. Ordinarily, scalars are regarded as real numbers. However, there aren’t many instances of scalar multiplication with vector spaces when using rational numbers, complex numbers, etc.

### Contents

• Subspaces
• Linear combinations and spanning sets
• Linear dependence and basis
• Row and column spaces
• Rand-Alternative method
• Linear transformations
• Matrix of a linear transformation

## Mathematical Method Notes By Prof Naeem-Ul-Haq

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