## Table of Contents

### 1. algebra

**noun.** ['ˈældʒəbrə'] the mathematics of generalized arithmetical operations.

#### Synonyms

- quadratics
- linear algebra
- vector algebra
- pure mathematics

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### Rhymes with Linear Algebra

### 2. linear

**adjective.** ['ˈlɪniːɝ'] designating or involving an equation whose terms are of the first degree.

#### Synonyms

- additive

#### Antonyms

- sporadic
- rough

### 3. linear

**adjective.** ['ˈlɪniːɝ'] of or in or along or relating to a line; involving a single dimension.

#### Synonyms

- collinear
- one-dimensional
- linelike
- rectilinear
- rectilineal

#### Antonyms

- cubic
- multidimensional
- standing
- malfunctioning

### 4. linear

**adjective.** ['ˈlɪniːɝ'] of a circuit or device having an output that is proportional to the input.

#### Synonyms

- analogue

#### Antonyms

- unrelated
- collateral

### 5. linear

**adjective.** ['ˈlɪniːɝ'] measured lengthwise.

#### Synonyms

- lengthways
- lengthwise

#### Antonyms

- complex
- difficult
- simplicity

### 6. linear

**adjective.** ['ˈlɪniːɝ'] (of a leaf shape) long and narrow.

#### Synonyms

- simple
- elongate

#### Antonyms

- fancy
- sophisticated
- precocious

### Sentences with linear-algebra

1. **Noun Phrase**

Civil engineers frequently use matrices in **linear algebra** to analyze the properties of springs and two-dimensional structural frames as well as to model the impact of uniformly distributed loads and concentrated loads on the components of a structure.

2. **Noun Phrase**

Cornell University, for example, requires a minimum of four semesters of calculus and a class in **linear algebra**.

3. **Noun Phrase**

Calculus II should also introduce the fundamental concepts of **linear algebra**, which is the core of multivariate calculus, explored more fully in Calculus III.

4. **Noun Phrase**

A **linear algebra** course introduces fundamental concepts of matrix algebra, which includes orthogonal and linear transformations, rank and characteristic roots, quadratic, bilinear and Hermitian forms.