Matrix

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Across
  1. 2. - An identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere
  2. 5. - A scalar matrix is a diagonal matrix where all diagonal elements are the same, representing a scaling operation.
  3. 6. - The adjoint of a square matrix is the transpose of its cofactor matrix, often used in finding the inverse of a matrix.
  4. 9. - The diagonal of a matrix consists of its elements where the row index equals the column index, forming a line from the top-left to the bottom-right corner.
  5. 10. - The order of a matrix refers to the number of rows and columns it has, usually denoted as m x n.
Down
  1. 1. - A matrix is symmetric if it is equal to its transpose, meaning its elements are mirrored across the main diagonal.
  2. 3. - A square matrix has an equal number of rows and columns.
  3. 4. - The transpose of a matrix is obtained by flipping its rows and columns, effectively swapping rows with columns.
  4. 7. - The null matrix is a matrix consisting entirely of zeros.
  5. 8. - A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns.