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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

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9385

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

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9386

Construct  matrix,  whose elements are given by (i)     (ii)      (iii)   Answer: (i) The order of the given matrix is , so, read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9387

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

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9388

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

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9389

Let  . Find each of the following: (i)            (ii)    ... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9390

Simplify   Answer: =  =  = read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9391

Find X, if Y=  and  . Answer: Given , and    2X =   read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9392

Solve the equation of  and t, if   Answer: Given,     &n... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9393

If  , find the values of  and  . Answer: Given ,    &nbs... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9394

If  then show that  . Note – For  , replace x in  by y. Similarly , to F   If   Answer: Here,                 read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9396

If  and  , then verify that   Answer: Here,      ... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9397

If  and  , then find  . Answer: Given,       &... read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9398

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

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9399

Using elementary transformations, find the inverse of the following matric:   Answer: Let  . We know that A = IA. read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9400

Using elementary transformations, find the inverse of the following matric:   Answer: Let  . We know that A = IA read more

JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9401

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

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