Matrices
CBSE · Class 12 · Mathematics
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Introduction to Matrices
- A matrix is an ordered rectangular array of numbers or functions arranged in rows and columns
- Elements are enclosed in square brackets [ ] or parentheses ( )
- Matrices are denoted by capital letters like A, B, C
Order of Matrix and Types
- Order of matrix = number of rows × number of columns (m×n)
- Total elements in m×n matrix = m×n
- Different types serve specific purposes in mathematics
Special Types of Matrices
- Diagonal matrix: non-diagonal elements are zero
- Scalar matrix: diagonal matrix with equal diagonal elements
- Identity matrix: scalar matrix with diagonal elements = 1
Equality of Matrices
- Two matrices are equal if they have same order and corresponding elements are equal
- Used to find unknown elements in matrix equations
- Forms basis for solving matrix equations
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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