Plus Two Math's Solution Ex 3.3 Chapter 3 Matrices | Kerala Notes

Discover how to improve your maths grades with our high-quality, easy-to-understand maths textbook solutions. Our solutions are packed with information to ensure you get the best out of your studying Here is the solution for Exercise 3.3 Chapter 3 Matrices of NCERT plus two maths. Here we have given a detailed explanation of each and every exercise so that students can understand the concepts easily without any difficulty. The solution to each and every question is provided here so you can solve them by yourself if you don’t get the answer here.

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 Board SCERT, Kerala Text Book NCERT Based Class Plus Two Subject Math's Textbook Solution Chapter Chapter 3 Exercise Ex 3.3 Chapter Name Matrices Category Plus Two Kerala

Kerala Syllabus Plus Two Math's Textbook Solution Chapter  3 Matrices Exercises 3.3

Chapter 3  Matrices Solution

Kerala plus two maths NCERT textbooks, we provide complete solutions for the exercise and answers provided at the end of each chapter. We also cover the entire syllabus given by the Board of secondary education, Kerala state.

Chapter 3  Matrices Exercise   3.3

Find and, when

The given matrix is

Find the transpose of each of the following matrices:

(i)  (ii)  (iii)

(i) (ii) (iii)

If and, then verify that

(i)

(ii)

We have:

(i)

(ii)

If and, then verify that

(i)

(ii)

(i) It is known that

Therefore, we have:

(ii)

If and, then find

We know that

For the matrices A and B, verify that (AB)′ =  where

(i)

(ii)

(i)

(ii)

If (i) , then verify that

(ii) , then verify that

(i)

(ii)

(i) Show that the matrix is a symmetric matrix

(ii) Show that the matrix is a skew symmetric matrix.

(i) Transpose of a matrix is equal to original matrix,then it is symmetric.

Hence, A is a symmetric matrix.

(ii) If it is equal to negetive,then it is skew symmetric matrix. Diagonal elements of this matrix are zero.

Hence, A is a skew-symmetric matrix.

For the matrix, verify that

(i)  is a symmetric matrix

(ii)  is a skew symmetric matrix

(i)

Hence,  is a symmetric matrix.

(ii)

Hence, is a skew-symmetric matrix.

Express the following matrices as the sum of a symmetric and a skew symmetric matrix:

(i)

(ii)

(iii)

(iv)

(i)

Thus,  is a symmetric matrix.

Thus,  is a skew-symmetric matrix.

Representing A as the sum of P and Q:

(ii)

Thus,  is a symmetric matrix.

Thus,  is a skew-symmetric matrix.

Representing A as the sum of P and Q:

(iii)

Thus,  is a symmetric matrix.

Thus,  is a skew-symmetric matrix.

Representing A as the sum of P and Q:

(iv)

Thus,  is a symmetric matrix.

Thus, is a skew-symmetric matrix.

Representing A as the sum of P and Q:

If AB are symmetric matrices of same order, then AB − BA is a

A. Skew symmetric matrix B. Symmetric matrix

C. Zero matrix D. Identity matrix

The correct answer is A.

A and B are symmetric matrices, therefore, we have:

Thus, (AB − BA) is a skew-symmetric matrix

If, then, if the value of Î± is

A.  B.

C. Ï€ D.

The correct answer is B.

Comparing the corresponding elements of the two matrices, we have:

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