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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...
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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)...
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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...
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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
...
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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 ...
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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...
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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,
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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
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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
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9389
Let
. Find each of the following: (i)
(ii) ...
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9390
Simplify
Answer:
=
=
=
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9391
Find X, if Y=
and . Answer: Given ,
and
2X =
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9392
Solve the equation of and t, if
Answer: Given,
&n...
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9393
If
, find the values of and . Answer: Given ,
&nbs...
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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,
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9396
If
and , then verify that Answer: Here,
...
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JEE-Main - Grade 12 - Mathematics - Matrices - Study ref# 9397
If
and , then find . Answer: Given,
&...
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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: ...
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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.
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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
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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)
 ...
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