JEE-Main - Grade 12 - Mathematics - Matrices - Introduction and Snapshot of Matrices - Study ref# 905

Introduction
The knowledge of matrices is necessary in
various branches of mathematics. Matrices are one of the most powerful tools
in mathematics. This mathematical tool simplifies our work to a great extent
when compared with straight f... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Introduction and Snapshot of Matrices - Study ref# 906

Following sections must be covered to
understand the Matrices:
1. Matrix
2. Types of Matrices
3. Operations on Matrices
4. Transpose of a Matrix
5. Symmetric and Skew Symmetric Matrices
6. Elementary Operation (Transformation)... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Target Setup for Matrices - Study ref# 907

Student requires to achieve the following milestones to get better grip over Matrices. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subjec... read more

JEE-Main - Grade 12 - Mathematics - Determinants - Introduction and Snapshot of Determinants - Study ref# 908

Introduction
We have already learnt that a system of
algebraic equations can be expressed in the form of matrices. This means, a
system of linear equations like
... read more

JEE-Main - Grade 12 - Mathematics - Determinants - Introduction and Snapshot of Determinants - Study ref# 909

Following sections must be covered to
understand the Determinants:
1. Determinant
2. Properties of Determinants
3. Area of a Triangle
4. Minors and Cofactors
5. Adjoint and Inverse Matrix
6. Application of Determinants and
... read more

If a matrix has 24 elements , what are
the possible orders it can have ? What, if it has 13 elements? Answer: We know that if a matrix is of the order , it has elements. Hence, a matrix
containing 24 elements can have any one of the following... read more

Find the values of x, y and z from the
following equations:
Hints – If the orders of two matrices are
equal, then their corresponding elements are equal when then read more

Find the values of x, y and z from the
following equations:
Hints – If the orders of two matrices are
equal, then their corresponding elements are equal when then read more

Using elementary transformations, find
the inverse of the following matric :
Note – Initially we consider Applying row transformation
and convert in the form of to get Answer: ... read more

Show that the matrix is symmetric or
skew-symmetric according as A is symmetric or skew-symmetric. Answer: We suppose that A is a symmetric matrix,
then
Consider is
such that then
(a) ... read more