Suppose ADequalsISubscript m (the mtimesm identity matrix). Show that for any Bold b in set of real numbers R Superscript m,
the equation ABold xequalsBold b has a solution. [Hint: Think about the equation ADBold bequalsBold b.] Explain why A cannot have more rows than columns.
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be .. d = √(5^2 +6^2) .. = √(25 +36) .. = √61 . . . . . miles .. ≈ 7.81 . . . . miles