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Winner of the Standing Ovation Award for “Best PowerPoint Templates” from Presentations Magazine. 3, y - = -1.92=2 5 -2 5 5 5 5 2 -1 -1 3 -2 4 5 6 5 2 -1 - 5(12 - 25)+ 4(-2 - 10) = 85 + 65 -48 = 150 -48 - 102 - 5(-3 - 5 - 107 - 102 . Mathematics; 7-11; View more. Tes Classic Free Licence. Mae ices Columns, Rows, Entries Columns 594 Rows s 218 2 by 3 matrix Entry, Session Objectives Determinant of a Square Matrix Minors and Cofactors Properties of Determinants Applications of Determinants Area of a Triangle Solution of System of Linear Equations (Cramer's Rule) Class Exercise, Determinants If A then IAI all If A = a21 is a square matrix of order 1, all is a square matrix of order 2, then a22 alla22 a21a12, Example 4 Evaluate the determinant : 2 5 4 Solution : 2 — 20+6 = 26 5, Solution If A = all a31 all a31 a22 a22 an a13 a23 a33 al 3 a23 a33 is a square matrix of order 3, then a22 = all a32 a23 a21 a23 a21 a22 a33 a31 a33 a31 a32 [Expanding along first row = all (a 22 a33 )-a12 a a a3F23 21 33 31 23 21 32 a31a22 11 22 33 12 31 23 13 21 32 11 23 32 12 21 33 13 31 2, Example Evaluate the determinant : Solution : 7 -3 4 [Expanding along first row] = + 8) -3(7 - 6) - +3) = 18-3-155, Minors -1 If A = 2 4 then 3 = Minor of all Mil — Minor of a21 M21 - = Minor of an M12 — Minor of an = -1 M22 -. If any two rows (or columns) of a determinant are identical, then its value is zero. Absolute Value. lesson 2 - finding the constant. Free Presentations in PowerPoint format. a2+Y b2 = a2 b2 + Y b2 a3+z b3 c3 The value of a determinant is unchanged, if any row (or column) is multiplied by a number and then added to any other row (or column). Why do we need Life Skills for students at upper, How do we strengthen our internal assessment, What are the ways in which we can strengthen. It also includes CBSE Class 10 sample papers to help students get familiar with the exam pattern and get exam ready. lesson 1- intro. Maybelle A. Carpio May 28, 2020 at 1:27 … Common Multiples and Least Common Multiples. (2) If and DI = D2 = D3 = O, then the system has infinite solutions or no solution. Mathematicians consider that the universe cannot be read until we have learned the language and become familiar with the characters in which it is written. 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Use this blank mathematics themed PowerPoint template for presentations in the classroom. ign ys em or or er and order 3 are given by, Example-I Find the value of the following determinants 42 1 (i) 28 7 14 3 Solution : 6 4 2 6 2 1 7 3 6 2 -10 6 4 2 42 (i) 28 14 = 74 7 = 7 xo 1 7 3 6 4 2 [Taking out 7 common from q] Cl and C3 are identical], Example 6 -10 5 2 3x(-2) -3 1 —3 5 5 -3 -1 5 -1 2 2 2 2 2 2 [Taking out-2 common from Cl ] Cl and C2 are identical], Example - 2 Evaluate the determinant 1 1 C Solution : 1 c a-I-b 1 = (a-I-b+c) I 1 1 1 1 a b c 1 1 1 [Applying —>C2 -I-C3] [Taking (a+b+ c) common from [o: Cl and C3 are identical], Example - 3 Evaluate the determinant: a a bc c 2 c ab b ca Solution: a We have a2 bc (a-b) -c(a-b) b ca 1 -c c 2 c ab b-c -a(b-c) c 2 c ab [Applying — C2 and — 1 -a c 2 c ab Taking (a-b) and (b-c) common from Cl and C2 respectively, Solution Cont. Counting Frogs. Linear Algebra and Matrices. x 5 8 -2 2 8 1 1 1 - 6 + 24 = 0 = 18 X = 3, 2 Linear Equations be al x + blY = Cl + b2Y = c2 Then x where D = provided D O, and D2 =. For more info visit this site:- https://www.extramarks.com/syllabus/cbse-class-11, CBSE Class 5 Classes | CBSE Class 5 Syllabus. Top Locations + Delhi Tutors; Free Presentations in PowerPoint format. Let A = IA a O a O O O b O O O b O be a diagonal matrix, then O c O O = abc c, Row(Column) Operations Following are the notations to evaluate a determinant: (i) Ri to denote ith row (ii) to denote the interchange of ith and jth rows. Addition Flash Cards. Multiplication Powerpoints (several) Multiplication Expressions. Circular No. Due to recent events within the WRM team we will not be completing the Year 4 videos for the Autumn term. - EduBull provides CBSE class 3 online courses and classes along with lessons, exercises, syllabus, textbooks, and study materials for CBSE class 3 all Subjects. (4) If dl = d2— d = O, then the system is called the system of 3 homogeneous linear equations. 2x 1 2x O [Applying R 2 -RI and R 3 Now expanding along Cl , we get =R.H.S, Example -9 Using properties of determinants, prove that x+9 x x x x x+9 x x x+9 = 243 (x+3) Solution : L.H.S= X x x X x X x x x x [Applying C 1 .+C2 + C 3], Solution Cont. (3) If D = O and one of DI, D2, D3 O, then the system is inconsistent and has no solution. Central Board Of Secondary Education (CBSE) 10th & 12th Result 2018 will be declared in May 2018. CBSE Class 12 Result 2018 will be declared in May 2018. By Cramer's Rule D 51 and z = D -102=-2 51, Example Solve the following system of homogeneous linear equations: x + y -z = O, x- 2y + z = O, 3x + 6y + -5z = O Solution: We have D = 1 1 3 1 -2 6 -1 1 = 4+8-12=0 The system has infinitely many solutions. Free Presentations in PowerPoint format. From this year, Nearly 4000 independent schools participate in, Some of the records established by CBSE students, The annual calendar for 2006-07 has already been, CBSE believes that it has a great social and, Merit scholarship for pursuing professional and, Merit scholarships to single girl children from, Chacha Nehru Sports Scholarships for sports, National Competition for Technological Innovation, In the 2005-06 competition more than 400 entries. - CBSE is the best Indian Education Syllabus accepeted all over the world, CBSE Syllabus is aimed at providing advanced academic experience at the highest standard. Free powerpoint presentations on Maths. - CBSE class 1 course, as it is one of the foundation years of student life. If D O, then the system has only trivial solution x = y = z (ii) If D = O, then the system has infinite solutions. 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CBSE 12th Result 2020 Date- Check CBSE Class 12 Result. Multiplication Flash Cards in PowerPoint format. Matrix Algebra – Why Is It Important? Get direct links to check CBSE 12th Result 2019-2020 here. Math Games. Use the clues to work out the number. Download CBSE Class 1 To 12 Worksheets 2020-21 Session in PDF, - Download pdf CBSE worksheets with questions answers for all classes and subjects as per latest CBSE and NCERT syllabus, blueprint for all important topics, CBSE Class 2 | CBSE Class 2 Classes | CBSE Grade 2 Syllabus | Online Learning App, Video Tutorials. Circular No. ppt, 2 MB. CBSE Class 12 Result 2018, Central Board of Secondary Education - CBSE Result 2018, - CBSE 12th Result 2018 - CBSE Board 12th Exam 2018 will be conducted from 5th March to 13th April 2018. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. Minors If A = Mll - , then — Minor of all = determinant of the order 2 x 2 square sub-matrix is obtained by leaving first row and first column of A Similarly, M23 = Minor of a23 4 2 7 3 = 12-14=-2 4 — Minor of an -9 8 = +72 = 72 etc. Business hours: Monday – Friday 10 AM – 6 PM 05/04 dated 13.02.2004, 18/04 dated, Seven Point grading scale has been notified, It will facilitate maintenance of meaningful, Already internal evaluation existed at secondary. Internal Evaluation in Social Science from March, 20 marks for school-based internal evaluation, 20 marks will be allotted to the following, How to award marks (detailed guidelines have, In class IX on the basis of announced unit tests, Marks out of 10 to be awarded and than average, In class X average of class IX and class X unit, Mode of Assessment for recording purpose in, They may be graded using five point rating, Record of 5 announced assignments, one in each, In class IX a student will do two projects of, In class X a student will do any one project out, Scheme of evaluation split up of 5 marks, Circular No.02/04 dated 28.01.04, 06/04 dated, Internal Assessment in Social Science for 20, Feedback suggests that some schools are not, Boosting of Internal Assessment marks will result, It may also lead to cancellation of internal, Schools are advised to send five best projects to, The topics for the project for classes IX and X, Internal assessment in Maths began in class IX, First class X Exam in this scheme will be in, 80 marks for Board Exam for class X and 20 marks, Step 1 Assessment of any two skills in Maths, Step 2 a record of at least 10 activities will, Step 3 Class IX Work out weightage out of 5, Class X Work out average of final assessment, Step 4 Add marks of skills (10 marks), Record, Board will send award list to be filled and, Detailed instruction in Circular No. kal kbl b2 b3 I, Properties (Con.) 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