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miv72 [106K]
2 years ago
15

In order for a matrix to be inverse, what must be true?

Mathematics
2 answers:
Marta_Voda [28]2 years ago
7 0
D


Mark brainliest please


Hope this helps
polet [3.4K]2 years ago
4 0
In order for the matrix to be inverse, its determinant must not equal to zero.

The inverse of a 2 × 2 matrix is: 1/(ad - bc)

In which (ad - bc) is the determinant. The determinant cannot be zero because division by zero is an undefined operation.

Therefore, the correct answer is:
D) ad - bc ≠ 0

Please mark my answer as the Brainliest, if you find this helpful :)
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A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept<br> form.
trapecia [35]

Answer: y = \frac{1}{4}x - 3 \frac{1}{4}

Step-by-step explanation:

    Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = <em>m</em>x + <em>b</em>

y = (\frac{1}{4})x + <em>b</em>

<em />

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = (\frac{1}{4})x + <em>b</em>

(-2) = (\frac{1}{4})(5) + <em>b</em>

-2 = 1.25 + <em>b</em>

-3 \frac{1}{4} = <em>b</em>

<em />

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = \frac{1}{4}x - 3 \frac{1}{4}

    <em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>

<em>brainly.com/question/13874293</em>

4 0
1 year ago
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Jim’s dog weighs 18 pounds 10 ounces. His cat weighs 6 pounds 3 ounces. How many more ounces does Jim’s dog weigh than his cat?
JulijaS [17]
The dog weighs 99 ounces more than the cat. you just have to convert to ounces then subtract.

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3 years ago
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A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to
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Answer: Don't know sorry

Step-by-step explanation:

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tresset_1 [31]

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What is the solution to |x − 4| ≥ 7?
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9514 1404 393

Answer:

  (x ≤ -3) ∪ (11 ≤ x)

Step-by-step explanation:

The given equation resolves to two equations:

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  x -4 ≤ -7   ⇒   x ≤ -3

The solution is (x ≤ -3) ∪ (11 ≤ x).

3 0
3 years ago
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