SOLUTION: Can some please help me with these questions! I'm lost! Use the properties of determinants to find the following determinants without a full set of calculations! 1) |243 0 -

Question 1023218: Can some please help me with these questions! I'm lost!
Use the properties of determinants to find the following determinants without a full set of calculations!
1) |243 0 -387|
Find |26 0 -98|
|598 0 4891|
2)
|3 0 -3|
IF |2. 1. 0|
|0 -2 -1|
,then find |6 0 -3|
|4 1 0|
|0 -2 -1|
3)
If |3 0 -3|
|2 1 0|=9
|0-2 -1|
,then find
| 3. 0. -3|
|(2+0) (1-2) (0-1)|
| 0. -2 -1|
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
1) The value of the determinant would be 0, because of the presence of a column of zeros.
2) The first column was multiplied by 2 (elementary row operation of the second type), hence the value of the determinant would be 2*9 = 18.
3) The new second row was obtained by multiplying the 3rd row by 1 and adding it to the old second row. Any elementary row operation of the 3rd type doesn't change the value of the determinant, hence the determinant is still 9.
RELATED QUESTIONS
Use the properties of determinants to find the following determinants without a full set... (answered by Fombitz)

8. Use properties of logarithms to find the exact value of the expression. 9 elog9 2 (answered by Alan3354)

Please help me solve this. Use determinants to find the area of the parallelogram shown... (answered by ikleyn)

Use properties of determinants to find the value of the second determinant, if the value... (answered by KMST)

Can you please help me with the following: Assume that log4 ≈ 0.602, log 5... (answered by stanbon)

Can someone help me please? Use properties of real numbers to simplify the following... (answered by josgarithmetic)

It is known that the following is true. |x y z| |u v w| = 13 |1 2 3| Use properties (answered by richard1234)

Could you please help me with the following problem, Use properties of logarithms to... (answered by josgarithmetic)

Can you help me with these properties? I want to say one of them is communative. What... (answered by Earlsdon)