Question

A general 2x2 diagonal matrix has the form(a00b). Thus the two unknown real numbers a b are needed to specify each 2x2 diagonal matrix. In Exercises 11 16, how many unknown real numbers are needed to specify each of the given matrices

1. An upper triangular 2x2 matrix?
2.) An m × n matrix?

Answer 1

1. 3, and 2. m x n

Explanation:

1. for an upper triangular 2x2 matrix i.e. (a,0,c,d), three (03) unknown elements a, c, and d are needed to be specified.

2. for m x n matrix, m*n elements are needed to be specified.