Problem 19E

In Problems 17–20, find the matrix function X -1 (t) whose value at t is the inverse of the given matrix X(t).

Section 1.5 — Matrices Saturday, September 2, 2017 7:40 PM Definition 1: A m x n matrix A is denoted: Example 1: Determine and for the following matrix: Definition 2: Let and be m x n matrices.The m x n matrix A + B is defined by: **NOTE: Matrices musthave the samenumber of rows and variables in order to add them. Example 2: Find A + B for: Definition 3: If is an m x n matrix and if is a scalar,then the m x n matrix is given by: In other words, is the matrix obtained by multiplying eachcomponentof A by . If for i , , , m and j , , , n Example 3: Definition 4: Two matrices are equal if