Web17 sep. 2024 · The matrix A is upper triangular; the only nonzero entries lie on or above the diagonal. Likewise, AT is lower triangular. The matrix B is diagonal. By their definitions, we can also see that B is both upper and lower triangular. Likewise, I4 is diagonal, as well as upper and lower triangular. WebIf A = ⎣⎡1 2 a 2 1 2 2 −2 b ⎦⎤ is a matrix satisfying the equation AAT = 9I, where, I is 3 × 3 identity matrix, then the ordered pair (a,b) is equal to 2269 79 JEE Main JEE Main 2015 Matrices Report Error A (2,-1) B (-2,1) C (2,1) D (-2,-1) Solution: AAT = 9I ⎣⎡1 2 a 2 1 2 2 −2 b ⎦⎤⎣⎡1 2 2 2 1 −2 a 2 b⎦⎤ = ⎣⎡9 0 0 0 9 0 0 0 9⎦⎤ a +4+2b = 0
If A =[[ 1 2 2; 2 1 2; a 2 b ]] is a matrix satisfying AAT = 9I3 then ...
WebShow that if A is a symmetric n x n matrix and B is any n x m matrix, then the following products are symmetric: BTB, BBT, BTAB. Math. Algebra. Linear Algebra; Question. Find all 3 x 3 diagonal matrices A that satisfy A2 - 3A - 41 = 0. Solutions. Verified. Solution A. Solution B. Answered 4 months ago. Web5 jul. 2024 · "If `A= [ (1,2,2), (2,1,-2), (a,2,b)]` is a matrix satisfying the equation `A A^T=9I`, where `I` is `3xx3` identity matrix, then the ordered pair ` (a,b)` is equal to : Symmetric Matrix ... read my email csudh
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WebMathematics if A = [1&2&2 2&1&-2 a&2&b] is a matrix satisfying AAT=9I3 then find the values of a and b respectively. Q. if A = ⎣⎡1 2 a 2 1 2 2 −2 b ⎦⎤ is a matrix satisfying AAT = 9I 3 then find the values of a and b respectively. 1838 53 Matrices Report Error A 1,2 B −2,−1 C −1,2 D −2,1 Solution: We have , Web, we can see that det(AB) = ! 4. This is an example of det(AB) = det A det B. Exampl e x powers Let A be a 2 " 2 matrix. Show that det(A2) = (det A)2. Answer As A2 = AA, det(A2) = det AA = det A det A = (det A)2. Determinants can also be deÞned for square matrices of order n, and these have the Web23 feb. 2015 · ResponseFormat=WebMessageFormat.Json] In my controller to return back a simple poco I'm using a JsonResult as the return type, and creating the json with Json (someObject, ...). In the WCF Rest service, the apostrophes and special chars are formatted cleanly when presented to the client. In the MVC3 controller, the apostrophes appear as … how to stop spider webs