Question

1 28. (1 point) Find the value(s) of k, so that the rank of [ 1 0 | 3 | 3 0 1 -1 -2 1 2 1 -2 1 1 2 0 3 1 k +4 6 | is 2. 1

that's all there is to the question sadly

Answer 1

* Given Matria A lot 137 1 0 1 2 1 3/ 12 kt4 T 3.-2-2.o 6] Given Ramki is 2. To determine rank of the matnine let's finsforut the echelon form of makin .. Row Echelon form of matnine is a form in which all non-zero crows (rows howing at least one non-zero dement) are above the rows in which all elements are zero. Rank of Row Céchelon's form is the noof non-zero rows

Tot 137 Alor 21t 31 1 2 K4 L 3 -2 -2 0 6 Tol 21 i Loa -2 -1 K5 to-2-5 3 31 837 83-39 ru . 84.3% 8 83+82 du - 84+28 Lo 1 1 3 Lot 2 LIL l o o o o K-4 loo - - - 83ru lol 1 37 ro1437 LOL 2 LL 0 1 2 H oo - 11 - O OLLI ooooky Loo ook4] & ad --- - for k=4 there will be 3 non zend news. So Rank : 3. for K 74, there is y non-zero rows. - --- Suprank : 4. But there is not any value for which total non zeno rows will be a. Rank = 2 fou no values of K...
It's the process of finding rank of any matrix.

• Convert the matrix to row echelon form by row transformations.
• Rank of matrix = no. of non-zero rows.

Let me know if you get it.