For example: if I'm learning some topic about straight lines there's a concept for parallel lines that " two lines are parallel if their slopes are equal ". So, what I do is that I'll take an graph paper , plot linear graphs which are parallel to each other and I'll find their slopes and conclude myself. Actually I wanted to tell something about me but, here it would be an off -topic so, where should we start talking?]]>

My experience is that the Miscellaneous exercises in the NCERT books are pretty good for testing your problem solving abilities. However, the way they are taught in schools often does not encourage students to reflect on what really is happening.

]]>A good resource for learning Linear Algebra is "Linear Algebra Done Right". Also, Alon Amit's Abstract Motivated Linear Algebra seems very approachable, except that not many chapters have been published.

You can also look into https://www.codingthematrix.com/ if that sort of thing interests you

]]>I had been a 12th class student about 4-5 years ago, so I feel you. A good resource for learning Linear Algebra is "Linear Algebra Done Right". Also, Alon Amit's Abstract Motivated Linear Algebra seems very approachable, except that not many chapters have been published.

Linear algebra is the study of a kind of mathematical object called "vectors" and also nice transformations of vectors (e.g, rotation, scaling, reflection). Matrices are a specific mechanism that lets one describe and manipulate these transformations. As I understand, the way matrices are taught in the 12th standard is ill-motivated. They project matrices as the central object of study, rather than vectors. As a result, they end up teaching students a very mechanical view of the subject -- the students tend to think that they need to learn to compute determinants, transposes, inverse of matrices, without understanding what any of that is good for.

As far as I can tell, all subfields of STEM use linear algebra in some form or the other. That includes pure mathematicians, computer scientists, engineers, physicists. Having a good understanding of linear algebra is of immense value.

]]>Ok. Here's Q1:

Use elementary operations to find the inverse of

Check by multiplying that your answer is correct. To post the answer use square brackets math and /math commands with the matrix like this:

\begin{pmatrix}

a & b\\

b & c

\end{pmatrix}

Bob

]]>Bob

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