Find a 3 × 3 matrix b such that b≠0 and ab 0
WebMay 18, 2012 · The Attempt at a Solution. Okay, so I know that typically, AB != BA, since matrix multiplication is non-commutative, but in some cases it can happen. What I did was make some 3x3 matrix B: B = [a,b,c; d,e,f; g,h,i] Then I wrote out AB = BA in matrix form, and solved both sides. Let's call AB matrix C, and BA matrix D. Web3. Since A is not invertible, by the Invertible Matrix Theorem there is a nontrivial solution x 0 of the homogeneous equation A x 0 = 0. Take x 0 as the first column of B and take the remaining columns of B to be zero. That gives A B = 0 but B is not the zero matrix. Share.
Find a 3 × 3 matrix b such that b≠0 and ab 0
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WebProduct zero 0.0/10.0 points (graded) Let A be a matrix given by A=⎣⎡244−6−12−121−2−3⎦⎤ Find a 3×3 matrix B such that B =0 and AB=0. Note. By 0 we denote here the zero matrix, i.e the matrix whose all entries are equal to zero. How to enter matrices. Martices should be entered row by row, enclosing each row in square brackets. WebLet A be a 3 × 3 matrix that has v1,v2,v3as a Jordan chain of length 3 and let B be the matrix whose columns are v3,v2,v1(in the order listed). Compute B−1AB. Suppose the vectors v1,v2,v3form a Jordan chain with eigenvalue λ, in which case (A− λI)v1= v2, (A− λI)v2= v3, (A−λI)v3= 0.
WebYou'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: Find a matrix B such that AB = I, where A = 3 1 −3 3 and I = 1 0 0 1 . Hint: Let B = a b c d . Find a matrix B such that AB = I, where A = 3 1 −3 3 and I = 1 0 0 1 . Hint: Let B = a b c d . Expert Answer 100% (4 ratings) WebProduct zero 0.0/10.0 points (graded) Let A be a matrix given by A 2 6 -1 1 -3 2 3 9 -1 Find a 3x3 matrix B such that B +0 and AB = 0. Note. By 0 we denote here the zero matrix, …
WebGiven matrix is: We have to find a non-zero matrix B of order 3 such that AB = 0. Since we know that if A is invertible then there does not exist any non-zero matrix B such that AB = …
WebApr 9, 2024 · In this paper a general-purpose procedure for optimizing a resonant inductive wireless power transfer link adopting a multiple-input-multiple-output (MIMO) configuration is presented. The wireless link is described in a general–purpose way as a multi-port electrical network that can be the result of either analytical calculations, full–wave simulations, or … dogezilla tokenomicsWebThere is another difference between the multiplication of scalars and the multiplication of matrices. If a and b are real numbers, then the equation ab = 0 implies that a = 0 or b = … dog face kaomojiWebJun 21, 2024 · An example with two invertible matrices: A = ( 0 1 1 0), B = ( 0 − 1 1 0) give A B = ( 1 0 0 − 1), B A = ( − 1 0 0 1). Share Cite Follow edited Jun 21, 2024 at 16:20 answered Jun 21, 2024 at 16:09 Bernard 173k 10 66 165 Add a comment 0 Let's take for example A, B ∈ M ( 2, R). A = ( 0 1 0 0) B = ( 1 0 0 − 1) Share Cite Follow doget sinja goricaWebProduct zero 0.0/10.0 points (graded) Let A be a matrix given by 4= 1 3 3 1 2 -3 0 5 Find a 3x3 matrix B such that B +0 and AB -0. Note. By we denote here the zero matrix, i.e the matrix whose all entries are equal to zero. How to enter matrices. Martices should be entered row by row, enclosing each row in square brackets. There must be additional dog face on pj'sWebMar 7, 2014 · 0. I need to find 3x3 matrices that meet the following: a) AB not equal to BA b) AB=BA but A not equal to B c)AB=AC but B does not equal C d) AB is the zero … dog face emoji pngWebIf A = 0 then B can be zero. Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. dog face makeupWebMy logic was to row reduce A into a matrix B such that: A = E n …. E 2 ⋅ E 1 ⋅ B. therefore A M = 0 becomes. A M = ( E n …. E 2 ⋅ E 1 ⋅ B) ⋅ M = E n …. E 2 ⋅ E 1 ⋅ ( B ⋅ M) = 0. This allows me to find a matrix M that, multiplied left by B, … dog face jedi