192k views
5 votes
Can some help me with this matrix problem. Use the given matrix to perform the required row operations

Can some help me with this matrix problem. Use the given matrix to perform the required-example-1
User MichaelK
by
8.4k points

1 Answer

7 votes


b.\\\left[\begin{array}{ccc}1&3&11\\-2&8&-12\\3&11&40\\\end{array}\right] \xrightarrow{-(1)/(2)R_2}\left[\begin{array}{ccc}1&3&11\\1&-4&6\\3&11&40\\\end{array}\right] \\\\-(1)/(2)[-2\ 8\ -12]=[1\ -4\ 6]


c.\\\\\left[\begin{array}{ccc}1&3&11\\-2&8&-12\\3&11&40\\\end{array}\right]\xrightarrow{2R_1+R_2}\left[\begin{array}{ccc}1&3&11\\0&14&10\\3&11&40\\\end{array}\right] \\\\2R_1\to2[1\ 3\ 11]=[2\ 6\ 22]\\2R_1+R_2=[2\ 6\ 22]+[-2\ 8\ -12]=[0\ 14\ 10]

User Levivanzele
by
8.4k points