Q32 of 146 Page 52

Let and a = 4, b = –2.

Show that:


(bA)T = bAT

a) To prove: (bA)T = bAT


As, LHS = (bA)T = (-2A)T


⇒ LHS =


Similarly,


RHS =


Clearly LHS = RHS =


Hence, (bA)T = bAT …proved


More from this chapter

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32

Let and a = 4, b = –2.

Show that:


a(C – A) = aC –aA

 32

Let and a = 4, b = –2.

Show that:


(AT)T = A

 32

Let and a = 4, b = –2.

Show that:


(AB)T = BT AT

 32

Let and a = 4, b = –2.

Show that:


(A – B)C = AC – BC