Recent content by skybluekitty

for num 5. yes n is suppose to be the demention of the matrices, so they are square matrices.

4. Show that det AB = 0 if and only if det A=0 or det B=0 well i know that I have to show two parts for this one part 1 that assume that det AB=0 then show that det A=0 or B=0 part 2 assume that det A=0 or B=0 then show that det AB = 0 but I have hard time coming up with a good...

Let A and B be nxn matrices. 1. Suppose that AB=AC and det A does not equal 0. Show that B=C 2. Show that A is nonsingular if and only if A transpose is nonsingular. 3. Show that det AB = det BA. 4. Show that det AB = 0 if and only if det A=0 or det B=0 5. Show that if AB= -BA and n...

Let A and B be nxn matrices. 1. Suppose that AB=AC and det A does not equal 0. Show that B=C 2. Show that A is nonsingular if and only if A transpose is nonsingular. 3. Show that det AB = det BA. 4. Show that det AB = 0 if and only if det A=0 or det B=0 5. Show that if AB= -BA and n is odd...