Essential Maths: Exploring Linear Algebra
Math
| Beginner
- 13 Videos | 1h 45m 44s
- Includes Assessment
- Earns a Badge
Linear algebra comes in handy when we need to work with a set of points represented in multi-dimensional space. Use this course to explore how systems of linear functions and equations can be represented using linear algebra. Examine how to define and compute the addition, scalar multiplication, dot product, and cross product operations on vectors, and discover how these operations are required while working with matrices. This course will also help you explore matrix multiplication, the inverse and transpose of a matrix, and computing the determinant of a matrix. By the time you finish this course, you will be able to express a system of linear functions as a matrix and perform fundamental operations on matrices, including matrix multiplication and the computation of inverses and determinants.
WHAT YOU WILL LEARN
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discover the key concepts covered in this courseidentify use-cases for linear algebrarepresent vectors in alternative notationsdefine and perform scaling, dot product, and cross product operations on vectorscreate a matrix and perform matrix operationsperform matrix additionperform matrix multiplication
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compute determinants and transpose matricesidentify and work with diagonal and zero matricescompute the inverse of an invertible matrixcreate matrices using SciPyrecognize properties of matricessummarize the key concepts covered in this course
IN THIS COURSE
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1.Course Overview1m 44sUP NEXT
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2.An Overview of Linear Algebra9m 33s
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3.Vectors with Different Notations11m 14s
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4.Vector Operations10m 47s
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5.Matrices and Matrix Operations11m 37s
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6.Adding Matrices Element-wise9m 11s
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7.Performing Matrix Multiplication7m 36s
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8.Computing Determinants and Transposing Matrices9m 7s
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9.Defining and Identifying Diagonal Matrices9m 16s
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10.Computing the Inverse of a Matrix8m 9s
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11.Using SciPy to Work with Matrices7m 10s
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12.Understanding Properties of Matrices8m 46s
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13.Course Summary1m 37s
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