State True or False for the statements If the determinant splits into exactly K determinants of order 3, each element of which contains only one term, then the value of K is 8.

Question

Philoid · Accepted Answer

True

Given

Splitting first row,

Splitting second row,

Similarly, we can split these 4 determinants in 8 determinants by splitting each one in two determinants further.

So given statement is true.

State True or False for the statementsIf the determinant splits into exactly K determinants of order 3, each element of which contains only one term, then the value of K is 8.

State True or False for the statements
If the determinant splits into exactly K determinants of order 3, each element of which contains only one term, then the value of K is 8.