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larrquad Шаги решения

|[2,3,-2],[1,-1,3],[4,1,4]|

$\leftarrow \quad$ Шаги решения $\newline$ $\left|\begin{array}{ccc} 2 & 3 & -2 \\ 1 & -1 & 3 \\ 4 & 1 & 4 \end{array}\right|$

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Integer inequalities with absolute values

Full solution

Q.

\leftarrow \quad

Шаги решения

\newline

\left|\begin{array}{ccc} 2 & 3 & -2 \\ 1 & -1 & 3 \\ 4 & 1 & 4 \end{array}\right|

Write Matrix & Formula: Write down the matrix and the formula for the determinant of a $3$ x $3$ matrix. $\newline$ The matrix is: $\newline$ $\begin{bmatrix} 2 & 3 & -2 \\ 1 & -1 & 3 \\ 4 & 1 & 4 \end{bmatrix}$ $\newline$ The determinant of a $3$ x $3$ matrix A, denoted as |A|, is calculated using the formula: $\newline$ $|A| = a_{11}(a_{22}a_{33} - a_{23}a_{32}) - a_{12}(a_{21}a_{33} - a_{23}a_{31}) + a_{13}(a_{21}a_{32} - a_{22}a_{31})$
Apply Formula: Apply the formula to the given matrix. $\newline$ Using the elements of the matrix, we calculate the determinant as follows: $\newline$ $|A| = 2((-1)(4) - (3)(1)) - 3((1)(4) - (3)(4)) - 2((1)(1) - (-1)(4))$
Perform Calculations: Perform the multiplications and subtractions within the parentheses. $\newline$ $|A| = 2(-4 - 3) - 3(4 - 12) - 2(1 + 4)$ $\newline$ $|A| = 2(-7) - 3(-8) - 2(5)$
Multiply & Add: Multiply the coefficients and add the results. $\newline$ $|A| = -14 + 24 - 10$ $\newline$ $|A| = 10$

More problems from Integer inequalities with absolute values

Question

g

can be thought of as a scaled version of

f(x)=|x|

\newline

What is the equation for

g(x)

\newline

1

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g(x)=-\frac{4}{3}|x|

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g(x)=\frac{4}{3}|x|

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g(x)=-\frac{3}{4}|x|

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g(x)=\frac{3}{4}|x|

Posted 2 months ago

Question

y=|x|

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What is the equation of the new graph?

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y=-\frac{5}{3}|x|

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y=\frac{3}{5}|x|

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y=-|x-5|+3

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y=|x-3|+5

Posted 4 months ago

Question

\$ 200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

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t

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\mathrm{t}

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h

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1

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40 h+80 t=400

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80 h+40 t=200

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5 h+2.5 t=200

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2.5 h+5 t=200

Posted 4 months ago

Question

We want to find the intersection points of the graphs given by the following system of equations:

\newline

\left\{\begin{array}{l} x-y=-4 \\ y=5(x+1)^{2}-3 \end{array}\right.

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One of the intersection points is

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Find the other intersection point. Your answer must be exact.

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Question

\mathbf{2 2}

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x-22

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22 x+22

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Question

Wilber wants to make the pond in his backyard bigger. It is currently a cone with a radius of

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(Round to the nearest thousand cubic meters.)

Posted 25 days ago

Question

Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the TV is horizontal. The windows are

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Posted 18 days ago

Question

Ari thinks the perfect milkshake has

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What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

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(A) Freeze Zone's milkshakes have too much caramel.

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(B) Freeze Zone's milkshakes have too little caramel.

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(C) Freeze Zone's milkshakes are just right.

Posted 2 months ago

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Nayeli lights a

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Whose space is lit brighter?

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(A) Nayeli's area

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(B) Citlali's area

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Posted 4 months ago

Question

Lashawn makes scrambled eggs with

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Whose scrambled eggs have a stronger salsa taste?

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(A) Lashawn's eggs

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(B) Gilberta's eggs

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(C) The dishes of scrambled eggs have equal salsa tastes.

Posted 2 months ago