Determinants: Minors and Co-factors

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10 Questions

What are the elementary transformations of a matrix?

Interchange of rows or columns

How many types of elementary transformations are due to rows in a matrix?

Three

What does R1 ↔ R2 mean in the context of a matrix?

Interchange of rows 1 and 2

What operation is denoted by C1 ↔ C2 in matrix transformations?

Interchange of columns 1 and 2

In the given matrix, if A = [[1, 2], [3, 4]], what will be the result after the operation R1 ↔ R2?

[[3, 4], [1, 2]]

Which branch of science extensively uses matrices for problem solving?

Physics

What is the language of atomic Physics, according to the text?

Matrices

Where are matrices NOT commonly used according to the text?

Biology

'Recall that R and C symbolically represent the rows and columns of a matrix.' What are R and C symbols for in matrix operations?

Rows and columns

'It is necessary to learn the uses of matrices with the help of elementary transformations and the inverse of a matrix.' What is highlighted as essential for learning about matrices?

Inverse of a matrix along with elementary transformations.

Learn about minors and co-factors of elements in determinants, including how to calculate them and their significance in matrix operations. Explore the relationship between minors, co-factors, and the adjoint of a matrix.

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