In this video lecture, theory and Multiple Choice Questions (MCQ) on Linear Transformation (LT) has been discussed in HINDI.
Must watch before any university exam or any MCQ type Exam. Very helpful and easily explained for final year students of BSc Mathematics Sant Gadge Baba Amravati University (SGBAU), Amravati and RTMNU, Nagpur, YCMOU MCQ type Exam. Also, helpful for Maharashtra SET Mathematics and CSIR NET Mathematical Science Examination.
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BSc Semester-VI
Mathematics paper XI
Linear Algebra
Unit 2 : Linear Transformation
Solved MCQ and Quick revision on Linear Algebra :
In this first part, the definition of a linear transformation, examples of Linear Transformation, Properties of linear transformation have been covered.
For directly watching a Particular Topic, click on the following topic wise timing:
Timestamps:🕙
[00:45] :- Linear Transformation and its examples
[05:33] :- Solved MCQ on Linear Transformation
[09:06] :- Existence and properties of LT
[11:32] :- Solved MCQ on properties of LT
Definition of Linear transformation:
A transformation from one vector space to another vector space over the same field is said to be linear transformation if it preserves two basic operations of vector space, that of vector addition and scalar multiplication.
The linear transformation from vector space to itself is called linear operator.
Properties of Linear transformation :
Linear transformation maps zero vector to zero vector and also preserves linear combination of vectors.
If LT is one-one, it maps LI set of vectors to LI set.
A linear transformation is completely determined by its values on the elements of a basis.
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