WebClick here👆to get an answer to your question ️ If the matrix AB is zero, then. Solve Study Textbooks Guides. Join / Login. Question . If the matrix A B 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. Open in App. Web22 mrt. 2024 · Ex 10.3, 14 - If either a=0 or b=0, then a.b = 0, but converse Chapter 10 Class 12 Vector Algebra Serial order wise Ex 10.3 Ex 10.3, 14 - Chapter 10 Class 12 Vector Algebra (Term 2) Last updated at March 22, 2024 by Teachoo Get live Maths 1-on-1 Classs - Class 6 to 12 Book 30 minute class for ₹ 499 ₹ 299 Transcript
o(a)=m ,o (b) =n , ab=ba then o(ab)=lcm(m,n). What happens when b …
Web3.3.42 (a) Prove that if A And invertible and AB = O then B = O. Proof. As A is invertible, there is a A1such that A1A = I. So, as AB = O, we can apply the inverse of A to the left on both sides and get A1AB = A1O. As anything times the zero matrix is the zero matrix, and we have that the RHS is O. WebSimilar questions. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x∈A and A∈B, then x∈B. (ii) If A⊂B and B∈C, then A∈C. (iii) If A⊂B and B⊂C, then AC. (iv) If A ⊂B and B ⊂C, then A ⊂C. (v) If x∈A and A ⊂B, then x∈B. black country face mask
If a, b, c ∈R and a,b,c =0 such that ba +cb +ac =6 and ab +ab +cQ …
Web1 mrt. 2024 · From the matrix viewpoint, though AB = O or BC = O but we can see that none of A, B or C is zero! To be specific, none of them is a zero matrix. Next, vectors are … Web16 sep. 2024 · A ≠ 0 and B ≠ 0 We need to show that, AB = 0. For multiplication of A and B, Number of columns of matrix A = Number of rows of matrix B = 2 (let) Matrices A and B … Web20 mrt. 2024 · If B is invertible and A = B − n then A B = B A If B is invertible and A = p o l y n o m i a l ( B, B − 1) then A B = B A It was noted in the comments that the problem on when two matrices A and B commutes has been answered before, but I decided to give the short answer anyway. black country family practice address