'2x2 matrix' diaporamas de présentation

MA122 Midterm

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Chapter 6.7

Chapter 6.7. Determinants. In this chapter all matrices are square; for example: 1x1 (what is a 1x1 matrix, in fact?), 2x2, 3x3 Our goal is to introduce a new concept, the determinant , which is only defined for square matrices, yet any size square matrices.

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Determinants

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Determinants

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Economics 2301

Matrices Lecture 12. Economics 2301 . Inner Product. Let a ' be a row vector and b a column vector, both being n -tuples, that is vectors having n elements:.

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Warm-Up

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Overview

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Warm-up

Warm-up. 2 3 -1 A = 0 -5 4 B = -7 1 0 2 6 -6 2 C = 9 4 D = -3 2 -1. 1. Find 8A 2. Find AC 3. Find CD 4. Find BD. 2x2 Matrices, Determinants, and Inverses. Goal ? To evaluate determinants and inverses of 2x2 matrices and to use inverse matrices to solve equations

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Warm-up

Warm-up. 2 3 -1 A = 0 -5 4 B = -7 1 0 2 6 -6 2 C = 9 4 D = -3 2 -1. 1. Find 8A 2. Find AC 3. Find CD 4. Find BD. 2x2 Matrices, Determinants, and Inverses. Goal ? To evaluate determinants and inverses of 2x2 matrices and to use inverse matrices to solve equations

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Determinants

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Determinants

Determinants. All square matrices have a determinant. The only ones we will deal with are 2x2 and 3x3 matrices. To find the determinant of a 2x2 matrix, you use the rule for second order determinants. ad-bc

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Determinants

Determinants. All square matrices have a determinant. The only ones we will deal with are 2x2 and 3x3 matrices. To find the determinant of a 2x2 matrix, you use the rule for second order determinants. ad-bc

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Problem Set 3 Problem 24

Problem Set 3 Problem 24. By Ellen Dickerson. Problem 24. If the matrix has 1 as an eigenvalue , find another eigenvalue for A. To find the eigenvalues of a 2x2 matrix we do the following 1.) Form the matrix A- ? I

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