Question

T= ( 3 15 ) ___2 10 Investigate the properties of determinants: Show that |T| =...

T= ( 3 15 )

___2 10

Investigate the properties of determinants:

  1. Show that |T| = |T’|

  1. Interchange any row (or column) of Tand show that the sign of the determinant changes but not the numeric value.

  1. Multiply any row (or column) of T, with 3 and investigate whether the value of the determinant changes 3 – fold.

  1. Investigate: If each element of a row (or column) is added to (or subtracted from) the corresponding element of another row (or column), the value of the determinant remains the same.

  1. Investigate: If one row (or column) is a multiple of another row (or column) then the determinant is zero.
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