Question-116884 Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 116884 by zakirullah last updated on 07/Oct/20 Answered by Olaf last updated on 07/Oct/20 Inlinearalgebra,amatrixissaidtobescaledinrowsifthenumberofzerosprecedingthefirstnon−zerovalueofarowincreasesrowbyrowuntilultimatelyallthatremainsarezero:[⊕∗∗∗∗∗∗∗∗00⊕∗∗∗∗∗∗000⊕∗∗∗∗∗000000⊕∗∗00000000⊕000000000]Ascaledmatrixiscalledareducedscaledmatrixorcanonicalrowmatrixifthepivotsareequalto1andiftheothercoefficientsinthecolumsofthepivotsarezero.Example:[01130−19099000112020000001470000000000000000000000000000] Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Find-the-number-m-of-ways-to-partition-10-students-into-four-team-so-that-two-team-contains-3-students-and-two-team-contains-2-students-Next Next post: Let-k-sin-1-sin-3-sin-5-sin-89-Find-log-2-k-2- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![In linear algebra, a matrix is said to be scaled in rows if the number of zeros preceding the first non−zero value of a row increases row by row until ultimately all that remains are zero : [(⊕,∗,∗,∗,∗,∗,∗,∗,∗),(0,0,⊕,∗,∗,∗,∗,∗,∗),(0,0,0,⊕,∗,∗,∗,∗,∗),(0,0,0,0,0,0,⊕,∗,∗),(0,0,0,0,0,0,0,0,⊕),(0,0,0,0,0,0,0,0,0) ] A scaled matrix is called a reduced scaled matrix or canonical row matrix if the pivots are equal to 1 and if the other coefficients in the colums of the pivots are zero. Example : [(0,1,(13),0,(−19),0,(99)),(0,0,0,1,(12),0,(20)),(0,0,0,0,0,1,(47)),(0,0,0,0,0,0,0),(0,0,0,0,0,0,0),(0,0,0,0,0,0,0),(0,0,0,0,0,0,0) ]](https://www.tinkutara.com/question/Q116904.png)