If A is determinant of a 3x3 matrix what is determinant of that 3x3 matrix multiplied by scalar 2?
Essential Math with Zoe
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SAT Math: Determinants of a 3 × 3 Matrix
In today’s SAT Math lesson, we work with a 3 × 3 determinant and use an important property of determinants.
If
| A B C |
| D E F | = A
| G H I |
what is the value of
| 2A 2B 2C |
| 2D 2E 2F |
| 2G 2H 2I | ?
When every entry in one row is multiplied by 2, the determinant is also multiplied by 2.
Since all 3 rows are multiplied by 2:
2 × 2 × 2 = 8
Therefore:
| 2A 2B 2C |
| 2D 2E 2F | = 8A
| 2G 2H 2I |
Answer: 8A
This SAT Math problem is a great example of how scaling the rows of a matrix affects its determinant.
#SATMath #SAT #Matrices #Determinants #SATPrep #Math #EssentialMathWithZoe
If A is determinant of a 3x3 matrix what is determinant of that 3x3 matrix multiplied by scalar 2?
Essential Math with Zoe
8 views
SAT Math: Determinants of a 3 × 3 Matrix
In today’s SAT Math lesson, we work with a 3 × 3 determinant and use an important property of determinants.
If
| A B C |
| D E F | = A
| G H I |
what is the value of
| 2A 2B 2C |
| 2D 2E 2F |
| 2G 2H 2I | ?
When every entry in one row is multiplied by 2, the determinant is also multiplied by 2.
Since all 3 rows are multiplied by 2:
2 × 2 × 2 = 8
Therefore:
| 2A 2B 2C |
| 2D 2E 2F | = 8A
| 2G 2H 2I |
Answer: 8A
This SAT Math problem is a great example of how scaling the rows of a matrix affects its determinant.
#SATMath #SAT #Matrices #Determinants #SATPrep #Math #EssentialMathWithZoe