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Black_prince [1.1K]
3 years ago
9

Is it possible to contruct a 4x3 matrix b and a 3x4 matrix c such that bc is invertible?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
Matrix B has dimensions 4x3 
Matrix C has dimensions 3x4

Write out those dimensions like so: 4x3   3x4
The inner '3's match up so B*C is possible. The dimensions of B*C is 4x4 as these are the outer dimensions when lining up 4x3  3x4

Since B*C is a square matrix, it is possible that an inverse could exist. Keep in mind that this isn't a guarantee as the determinant of B*C could be zero (which would lead to BC being non-invertible). Though of course we'd need more info.
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My Homework Mr Thompson please help!!
Nady [450]

Answers:

  1. C) Factored form
  2. C) Standard form
  3. D) The y intercept is -8
  4. B) Two solutions: x = -5 or x = 5
  5. B) Apply square root to both sides

=========================================

Explanations:

  • For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
  • For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
  • In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
  • In problem 5, we apply the square root to both sides to undo the squaring operation.
4 0
3 years ago
What is the correct method to label a segment with endpoint E and endpoint F? 
Degger [83]

Answer : option B

the correct method to label a segment with endpoint E and endpoint F

The endpoints of the line are E  and F

The Line starts at  E  and ends at F. The line will not extend after F

The line having end points are called as line segment

We represent a line segment by putting a line at the top

to label a segment with endpoint E and endpoint F, we use EF  or FE and a line at the top

So answer is option B

4 0
4 years ago
Read 2 more answers
What are the solutions to the equation x² + 16x + 14 = 0?
poizon [28]

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

3 0
3 years ago
Rx+h=sx-k solve for x
timama [110]
Rx + h = sx - k        Take all with x to the LHS

Rx - sx = -k - h

x(R - s) = - k -h

x =  (-k - h) / (R - s).  Multiply top and bottom by -1.

x =  (k + h) / (s - R)
6 0
4 years ago
I need to know what is <br><img src="https://tex.z-dn.net/?f=%20-%2015%20%5Cdiv%203" id="TexFormula1" title=" - 15 \div 3" alt="
Slav-nsk [51]

The answer is -3 because mathematically -15 divided by 3 equals -3



8 0
3 years ago
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