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A 3 × 3 table has zeros above its main diagonal. The… | StemPy Lab
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A 3 × 3 table has zeros above its main diagonal. The diagonal entries are 1, 2 and 6, and the three entries below the diagonal are 3, 4 and 5. What is the determinant of the table?
Mathematics
Easy
High School (11–12)
Algebra › Matrices and Determinants
A-Level
IB
Created by
StemPy Lab
A
3
×
3
3 \times 3
3
×
3
table has zeros above its main diagonal. The diagonal entries are
1
1
1
,
2
2
2
and
6
6
6
, and the three entries below the diagonal are
3
3
3
,
4
4
4
and
5
5
5
. What is the determinant of the table?
30
30
30
12
12
12
6
6
6
0
0
0
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← A student deletes the first row and the second column of the table 2 , 0 , 1 ; 3 , 1 , 4 ; 5 , 2 , 6 , finds the determinant of what is left, and then applies the correct sign for that position. What number does the student get?
Starting from a determinant of value 7, a student first multiplies one row by 3 and then interchanges two rows. What is the final value? →
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