Problem

(a) Is det(A + B) = det A + det B?Why or why not? (b) Calculate and compare yo...

(a) Is det(A + B) = det A + det B?Why or why not?

(b) Calculate

and compare your results.

(c) Calculate

and compare your results.

(d) Conjecture and prove a result about sums of determinants. (You may wish to construct further examples such as those in parts (b) and (c).)

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Solutions For Problems in Chapter 1.6