Class10 ICSE Maths Chapter Matrices Exercise 8.1

Class X ICSE Maths Chapter Matrices Exercise 8.2

Welcome to our comprehensive collection of questions on the topic "Matrices," designed to help you build a strong foundation in this essential area of linear algebra. Our question bank covers a wide range of topics, including matrix operations, types of matrices, determinants, inverse of matrices, and applications in solving systems of linear equations. These practice questions are perfect for students looking to strengthen their problem-solving skills and excel in their studies. Whether you're preparing for exams or enhancing your mathematical understanding, our resource is the ideal platform to master "Matrices."

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Matrices

Class X ICSE Maths Chapter Matrices Exercise 8.2

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Q1 If A = is the product AB possible? Give a reason. If yes, find AB.

Q2 If A = find AB and BA. Is AB = BA?

Q3 If A = find AB - 5C,

Q4 If A = , find A(BA).

Q5 Given the matrices : , Find the products of (i) ABC (ii) ACB and state whether they are equal.

Q6 Evaluate:

Q7 If A = , find the matrix AB + BA

Q8 If A = , find 2B - A2.

Q9 If A = , compute : (i) A(B + C) (ii) (B+C) A.

Q10 If A = , find the matrix C(B - A)

Q11 Let A = , find A2 + AB + B2.

Q12 Let A = , and find A2 + AC - 5B,

Q13 Let A = find AC + B2 - 10C,

Q14 If A = , find A2 and A3. Also state which of these is equal to A.

Q15 If X = show that 6X - X2 = 9I where I is the unit matrix.

Q16 Show that is a solution of the matrix equation X2 - 2X - 3I = O where I is the unit matrix of order 2

Q17 Find the matrix X of order 2 x 2 which satisfies the equation:

Q18 If A= find the value of x so that A2 = O.

Q19 (i) Find x and y if, (ii) Find x and y if,

Q20 Find x and y if,

Q21 If , Find the values of x anfd y

Q22 If Write down the values of a, b, c and d.

Q23 Find the value of x given that A2 = B where A =

Q24 If A = find the value of x, given that A2 = B.

Q25 If A = find x and y when A2 = B.

Q26 Find x and y if + 3

Q27 If , find a, b and c

Q28 If A = find x, y so that A2 = xA + yI

Q29 If P = and Q = , find x, y such that PQ = O.

Q30 Let M x = [1 2] where M is a matrix. (i) State the order of the matrix M. (ii) Find the matrix M.

Q31 Given : Write : (i) the order of the matrix X (ii) the matrix X.

Q32 Solve matrix equation :

Q33 (i) If A = , find matrix C such that AC = B. (ii) If A = , find a matrix C such that CA = B.

Q34 If A = , find matrix B such that BA = I, where I is unity matrix of order 2.

Q35 Given , M = 6I, where M is a matrix and I is unit matrix of order 2 x 2. (i) State the order of matrix M. (ii) Find the matrix M.

Q36 If B = , find matrix A such that AB = C.

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Q8 If A = , find 2B - A².

Q9 If A = , compute :
(i) A(B + C) (ii) (B+C) A.

Q11 Let A = , find A² + AB + B².

Q12 Let A = , and find A² + AC - 5B,

Q13 Let A = find AC + B² - 10C,

Q14 If A = , find A² and A³. Also state which of these is equal to A.

Q15 If X = show that 6X - X² = 9I where I is the unit matrix.

Q16 Show that is a solution of the matrix equation X² - 2X - 3I = O where I is the unit matrix of order 2

Q18 If A= find the value of x so that A² = O.

Q19 (i) Find x and y if,
(ii) Find x and y if,

Q23 Find the value of x given that A² = B where A =

Q24 If A = find the value of x, given that A² = B.

Q25 If A = find x and y when A² = B.

Q28 If A = find x, y so that A² = xA + yI

Q30 Let M x = [1 2] where M is a matrix.
(i) State the order of the matrix M. (ii) Find the matrix M.

Q31 Given : Write :
(i) the order of the matrix X (ii) the matrix X.

Q33 (i) If A = , find matrix C such that AC = B.
(ii) If A = , find a matrix C such that CA = B.

Q35 Given , M = 6I, where M is a matrix and I is unit matrix of order 2 x 2.
(i) State the order of matrix M.
(ii) Find the matrix M.