If ⎣⎡111343344⎦⎤⎣⎡xyz⎦⎤=⎣⎡121513⎦⎤ then the values of x,y,z respectively are

Question

If ⎣⎡​111​343​344​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​121513​⎦⎤​  then the values of x,y,z respectively are

Filo · Accepted Answer

⎣⎡​111​343​344​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​121513​⎦⎤​C2​→C2​−C1​ ⎣⎡​101​313​314​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​12313​⎦⎤​C1​→C1​−3C2​⎣⎡​101​013​014​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​3313​⎦⎤​C3​→C3​−C1​⎣⎡​100​013​014​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​3310​⎦⎤​C3​→C3​−3C2​⎣⎡​100​010​011​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​331​⎦⎤​C2​→C2​−C3​⎣⎡​100​010​001​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​321​⎦⎤​Since the matrix becomes an identity matrix, x=3,y=2,z=1

Question Text	If $⎣ ⎡ 111343344 ⎦ ⎤ ⎣ ⎡ x y z ⎦ ⎤ = ⎣ ⎡ 121513 ⎦ ⎤$ then the values of $x, y, z$ respectively are
Answer Type	Text solution:1
Upvotes	150

If $⎣ ⎡ 111343344 ⎦ ⎤ ⎣ ⎡ x y z ⎦ ⎤ = ⎣ ⎡ 121513 ⎦ ⎤$ then the values of $x, y, z$ respectively are

Text solutionVerified

Practice questions from similar books

If ⎣⎡​111​343​344​⎦⎤​⎣⎡​xyz​⎦⎤​=⎣⎡​121513​⎦⎤​ then the values of x,y,z respectively are

Text solutionVerified

Practice questions from similar books

If $⎣ ⎡ 111343344 ⎦ ⎤ ⎣ ⎡ x y z ⎦ ⎤ = ⎣ ⎡ 121513 ⎦ ⎤$ then the values of $x, y, z$ respectively are