Question: Let Upper A equals Start 2 By 2 Table 1st Row 1st Column a 2nd Column b 2nd Row 1st Column c 2nd Column d

Let Upper A equals Start 2 By 2 Table 1st Row 1st Column a 2nd Column b 2nd Row 1st Column c 2nd Column d EndTableA= a b c d . Show that if adminusbcequals=0, then the equation ABold xxequals=Bold 00 has more than one solution. Why does this imply that A is not invertible? [Hint: First, consider aequals=bequals=0. Then if a and b are not both zero, consider the vector xequals=Start 2 By 1 Table 1st Row 1st Column negative b 2nd Row 1st Column a EndTable b a .]

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