WebIf the matrix AB is zero, then A It is not necessary that either A=O or, B=O B A=O or B=O C A=O and B=O D All the above statements are wrong Medium Solution Verified by Toppr Correct option is A) Let us take A=[0400] and B=[0100]. Now, AB =[0400][0100] =[0000]. But none of A and B are zero matrices. WebIf ab = 0 then a=0 or b=0, or both a × 0 = 0 × a = 0 5 × 0 = 0 × 5 = 0 Multiplying two negatives make a positive, and multiplying a negative and a positive makes a negative: Negation example −1 × (−a) = − (−a) = a −1 × (−5) = − (−5) = 5 (−a) (−b) = ab (−3) (−6) = 3 × 6 = 18 (−a) (b) = (a) (−b) = − (ab) −3 × 6 = 3 × −6 = −18
If a.a = 0 and a.b = 0, then what can be concluded about the …
Web30 mrt. 2024 · R = { (a, b) : 1 + ab > 0}, Checking for reflexive If the relation is reflexive, then (a ,a) ∈ R i.e. 1 + a2 > 0 Since square numbers are always positive Hence, 1 + a2 > 0 is true for all values of a. So, the given relation it is reflexive. Web21 okt. 2010 · 1) For A and B to be invertible then they must live up to AB = I, which implies that either. AA^-1 = I if B = A^-1. Or if BA = I which implies that A = B^-1. 2) Hence then for the matrix product to exist then it has to live up to the row column rule. Then I choose A and B to be square matrices, then A*B = AB exists. randy elliott facebook
Is it always true that AB = 0 means either A = 0 or B = 0?
WebIt is not necessary that, if AB=0 then A=0 or B=0 Take example, A=[0001],B=[0010] Clearly AB=[0000] but A,B =0 Was this answer helpful? 0 0 Similar questions If A and B are two … Web29 okt. 2024 · If a > b > 0, then a 2 − b 2 A. a + b − 2 a b B. a − b + 2 a b C. ( a − b) 2 − 2 a b D. ( a + b) ( a − b) E. ( a + b) ( a − b) What is the difference between D and E I thought because of the numbers being all under the square root e.g. in D ( a + b) that you will have to subtract a from b first giving e.g. answer c and for the other one e.g. d randy ellingsworth