Math Problem Statement

Use technology to find the inverse of the given matrix (when it exists). Round all entries in your answer to two decimal places. (Caution: Because of rounding errors, technology sometimes produces an "inverse" of a singular matrix. These often can be recognized by their huge entries. If the inverse doesn't exist, enter DNE in any cell of the matrix.)

3.2

−3.6

2.3

−0.9

3.7

1.9

2.4

1.6

5.8

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Determinants
Singular Matrices

Formulas

Inverse of a 3x3 matrix formula: A⁻¹ = (1/det(A)) * adj(A)
Determinant formula for 3x3 matrix

Theorems

A matrix is invertible if and only if its determinant is non-zero

Suitable Grade Level

Undergraduate Level