MATM1544_lecture 27.pdf - The image part with relationship ID rId7 was not found in the file MATM1544 LECTURE 27 Basic matrix algebra T 27(0)51 401 9111

MATM1544_lecture 27.pdf - The image part with relationship...

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9/11/2015 1 The image part with relationship ID rId7 was not found in the file. T: +27(0)51 401 9111 | [email protected] | MATM1544 LECTURE 27 Basic matrix algebra September 11, 2015
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9/11/2015 2 T: 051 401 9111 [email protected] CONTENT What is a matrix Row and column matrices Equality of matrices Adding and subtracting Examples Exercise WHAT IS A MATRIX? It seems like a table of numbers: 1 2 4 3 0 5 And initially it is exactly that. This example has 2 rows and 3 columns. We call it a ° × ± matrix. Matrices can have names. Always capital letters. ² = 1 2 4 3 0 5
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9/11/2015 3 MORE EXAMPLES OF MATRICES ³ = 2 3 1 1 0 1 : ± × ° matrix. ´ = 1 2 3 1 ° × ° matrix. Square matrix: same number of rows and columns µ = 2 5 1 1 1 0 3 3 0 : ± × ± matrix: Another square matrix. THE AUGMENTED MATRIX We already know one matrix: The augmented matrix of a system: 1 3 2 5 1 2 or 1 3 1 2 5 2 is a 2 × 3 matrix. For equations in unknowns, it is a ¶ × (¶ + ·) matrix.
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9/11/2015 4 MATRICES WITH SINGLE NUMBER, ROW OR COLUMN · × · matrix: Single number ¸ = ¸ .
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