Question

Use elementary column operation C2➡️C2-2C1 in the matrix equation [4 2 = [1 2 [2 0
3 3] 0 3] 1 1]

Answer 1

Answer:

arrange the given matrix,

[ 4 2 ] [ 1 2 ] [ 2 0 ]

[ 3 3 ] [ 0 3 ] [ 1 1 ]

Now:- Use the column operation,

C2=C2-2C1

[ 4 2-2×4 ] = [ 1 2 ] _ [ 2 0-2×2 ]

[ 3 3-2×3 ] [ 0 3 ] [ 1 1-2×1 ]

[ 4 -6 ] [ 1 2] [ 2 -4 ]

[ 3 -3 ] = [ 0 3] [ 1 -1 ]