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Dafna11 [192]
3 years ago
14

Select four statements from the invertible matrix theorem and show that all four statements are true or false

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

A) A is an invertible matrix ( TRUE )

B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )

C ) The equation Ax = 0 has only the trivial solution ( TRUE )

D ) The columns of A form a linearly independent set ( TRUE )

Step-by-step explanation:

Assuming a matrix A

\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]

det A = 1 [ 0 -3 ] +  2 [12 + 5 ]  + 1[-1]

        = -3 + 34 -1 = 30 ≠ 0

THEREFORE  det A = 30 ≠ 0

Attached is the detailed solution of the given statements above

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Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.

Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
3 years ago
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murzikaleks [220]

Answer:

2nd one

Step-by-step explanation:

as it is a negative number so the point on the number line should move backwards

8 0
3 years ago
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Given the system of equations presented here:
Nata [24]
2x + 4y = 14
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2x + 4y = 14
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so ur answer is : 1st answer choice <==

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Omg this looks hard
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A + b·c = a + c·b is an example of the associative property.
muminat

Answer:

yes , This is an example of the associative property.

Step-by-step explanation:

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