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.)
−1.3 0.8 −3.3
−0.8 −1.4 2.7 −2.2 −0.8 −0.2
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Inversion
Singular Matrix
Determinants
Formulas
Inverse of a matrix: A^-1 = 1/det(A) * adj(A)
Determinant of a 3x3 matrix
Theorems
A matrix is invertible if and only if its determinant is non-zero
Suitable Grade Level
Undergraduate (Linear Algebra Course)