Class 12 ISC Maths Matrices Important Questions

Here we provide Class 12 Maths important questions,board questions and predicted questions with Answers for chapter Matrices. These important notes,board questions and predicted questions are based on ISC board curriculum and correspond to the most recent Class 12 Maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.

class 12 ISC Matrices Important Questions




Matrices Important Questions
Q1 If(A - 2I) (A-3I) = O, where A = and I = then find the value of x.

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Q2 If f(x) =   show that f(x) f(y) = f(x + y).

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Q3 If A =   and A - 6A2 + 7A + kI = O, then find the value of k and x = 0

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Q4 If [2x   3]   = O, find he value(s) of x.

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Q5 Find x, if [x   -5   -1]

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Q6 (i) For what value of x, is the matrix A =   a skew-symmetric matrix?

(ii) If the matrix   is skew-symmetric, find the values of a, b and c.


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Q7 If A, B are square matrices of equal order and B is symmetric, then show that A'BA is also symmetric

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Q8 If A, B are square matrices of equal order and B is a skew-symmetric matrix, then write whether the matrix ABA' is symmetric or skew-symmetric.

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Q9 If A is a square matrix and P is any square matrix of order equal to that of A, prove that P'AP is symmetric or skew-synmetric according as A is symmetric or skew-symmetric.

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Q10 If a matrix is both symmetric and skew-symmetric, then show that it is a null matrix

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Q11 If A, B are symmetric matrices of same order, prove that AB - BA is a skew-symmetric matrix

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Q12 If A and B are square matrices of same order, then prove that AB'- BA' is a skew-symmetric matrix.

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Q13 Find 1/2 (A + A'), and 1/2 (A - A'), where A =

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Q14 If A =   then show that A2 - 3I = 2A.

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Q15 Find the value of k if M =   andd M2 - kM - I2 = O.

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