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Chapters
2: Sales Tax and Value Added Tax
3: Banking
4: Shares and Dividends
5: Linear Inequations
6: Quadratic Equations
7: Problems Based On Quadratic Equations
8: Reflection
9: Ratio and Proportion
10: Remainder And Factor Theorems
▶ 11: Matrices
12: Distance and Section Formulae
13: Equation of A Straight Line
14: Symmetry
15: Similarity
16: Loci
17: Circles
18: Constructions
19: Mensuration I
20: Mensuration II
21: Trigonometric Identities
22: Heights and Distances
23: Graphical Representations
24: Measures Of Central Tendency
25: Probability
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Solutions for Chapter 11: Matrices
Below listed, you can find solutions for Chapter 11 of CISCE Frank for Mathematics - Part 2 [English] Class 10 ICSE.
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 11 Matrices Exercise 11.1
Classify the following rnatrix :
`|(2,1),(0 , 6),(8 , 7) |`
Classify the following matrix :
`[(7, 0)]`
Classify the following matrix :
`|(800),(521)|`
Classify the following matrix :
`|(1 , 1),(0,9)|`
Classify the following matrix :
`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`
Find the values of a and b) if [2a + 3b a - b] = [19 2].
Find the values of x and y, if `|(3"x" - "y"),(5)| = |(7) , ("x + y")|`
Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`
If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` , find : A + B
If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find : 2A + 3B
If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find A - 2B
If A = [4 7] and B = [3 1] , find: A+2B
If A = [4 7] and B = [3 l], find: A - B
If A = [4 7] and B = [3 l], find : 2A - 3B
If P = `|(2 , 9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` , find 2P + 3Q
If P =`|(2,9),(5,7)|` and Q = `|(7,3),(4,1)|` find 2Q - P
If P = `|(2,9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` find 3P - 2Q
If A = `|(17 , 5 , 19),(11 , 8 , 13)|` and B =`|(9,3,7),(1,6,5)|` , find 2A - 3B
If M = `|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10 , 1)|` find M+N
If M =`|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10,1)|` find M - N
If A =`|(1, 9 , 4),(5 , 0 , 3)|` , find negative A
If A = `|(1,9,4),(5 , 0 , 3)|` find A'
If P = (8 , 5),(7 , 2) , find Pt
If P= (8,5),(7,2) find : P + Pt
If P = `|(8,5),(7,2)|` find P - Pt
If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
If `|(2"a" + "b" , "c"),("d" , 3"a" - "b")|` = `|(4 , 3"a"),(7 , 6)|` , find the values of a , b , c and d.
If `|(3"a" + 2"b" , 2"a" - "b"),(4"p" - 3"q" , 2"p" + "q")|` = `|(12 , 1),(16 , 8)|` , find the values of a , b , p and q.
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
If A = `|(15,7),(13,8)|` and B = `|(16,12),(27,11)|`, find matrix X such that 2A - X = B.
If P = `|(14 , 17),(13,1)|` and Q = `|(2 , 1),(3 , -3)|` , find matrix M such that P - M = 3Q
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 11 Matrices Exercise 11.2
Evaluate the following :
`|(-2 , 3),(-1 , 4)| |(6 , 4),(3 ,- 1)|`
Evaluate the following:
`|(3 , 2)| |(-1) , (3)|`
Evaluate the following :
`|(2 , -5),(0 , -3)| |(1 , -1),(3 , 2)|`
Evaluate the following :
`|(1 , 1),(2 , 3)| |(2 , 1),(1 , 4)|`
Evaluate the following :
`|(2 , 3),(-4 , 0)| |(3 , -2),(-1 , 4)|`
Evaluate the following :
`|(2,1) ,(3,2),(1 , 1)| |(1 , -2 , 1),(2 , 1 , 3)|`
Evaluate the following :
`|(0 , 1),(-1 , 2),(-2 , 0)| |(0 , -4 , 0),(3 , 0 , -1)|`
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If A = `|(1,3),(3,2)|` and B = `|(-2,3),(-4,1)|` find AB
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
Let A be a 2 x 2 matrix and let I be an identity matrix of the order 2 x 2. Prove that AI = IA = A.
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
If X = `|(1 , -2),(1 , 3)|` , Y = `|(-3 , 0),(4 , 1)|` and Z = `|(5 , -1),(3 , 2)|` , prove that X (Y + Z) = XY + XZ
If A = `|(3,-2),(-1 , 4)|` , B = `|(2"a"),(1)|` , C = `|(-4),(5)|` , D = `|(2),("b")|` and AB + 2C = 4D then find the values of a and b.
Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B) (ii) A2 - B2 . Is (i) equal to (ii) ?
Find X and Y , if `|(1,2),(2 , -3)| |(x),(y)| = |(-1) , (12)|`
Solutions for 11: Matrices
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Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 11 - Matrices
Shaalaa.com has the CISCE Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Frank solutions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 11 (Matrices) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics - Part 2 [English] Class 10 ICSE chapter 11 Matrices are Addition and Subtraction of Matrices, Multiplication of Matrix, Matrices Examples, Introduction of Matrices, Types of Matrices.
Using Frank Mathematics - Part 2 [English] Class 10 ICSE solutions Matrices exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics - Part 2 [English] Class 10 ICSE students prefer Frank Textbook Solutions to score more in exams.
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