Simplify 1)[45]+[6−4] 2)[4−133−5−4]−[4−236−5−6] 3)[4−16−3]+[5−65−5]−[−20−2−6] Solve for x and y [−10−4x−1]+[−58y−10]=[−15x16−11]

Step 1 To solve the given matrices. Step 2 Given that 1)[45]+[6−4] [4+65−4] [101] ∴[45]+[6−4]=[101] 2)[4−133−5−4]−[4−236−5−6] [4−4−1+23−33−6−5+5−4+6]=[010−302] ∴[4−133−5−4]−[4−236−5−6]=[010−302] 3)[4−16−3]+[5−65−5]−[−20−2−6] [4+5+2−1−6−06+5+2−3−5+6] [3−513−2] ∴[4−16−3]+[5−65−5]−[−20−2−6]=[3−513−2] Given that [−10−4x−1]+[−58y−10]=[−15x16−11] [−10−5−4+8x+y−1−10]=[−15x16−11] [−154x+y−11]=[−15x16−11] Equating on both sides we have x=4 x+y=16 Since x=4 then 4+y=16 y=12 ∴x=4 and y=12

Expert answers to "Simplify 1)[45]+[6−4] 2)[4−133−5−4]−[4−236−5−6] 3)[4−16−3]+[5−65−5]−[−20−2−6] Solve for x and..."

e1s2kat26

Answered question

2021-02-11

Simplify
1)

[\begin{matrix} 4 & 5 \end{matrix}] + [\begin{matrix} 6 & - 4 \end{matrix}]

[\begin{matrix} 4 & - 1 \\ 3 & 3 \\ - 5 & - 4 \end{matrix}] - [\begin{matrix} 4 & - 2 \\ 3 & 6 \\ - 5 & - 6 \end{matrix}]

[\begin{matrix} 4 & - 1 \\ 6 & - 3 \end{matrix}] + [\begin{matrix} 5 & - 6 \\ 5 & - 5 \end{matrix}] - [\begin{matrix} - 2 & 0 \\ - 2 & - 6 \end{matrix}]

Solve for x and y

[\begin{matrix} - 10 & - 4 \\ x & - 1 \end{matrix}] + [\begin{matrix} - 5 & 8 \\ y & - 10 \end{matrix}] = [\begin{matrix} - 15 & x \\ 16 & - 11 \end{matrix}]

Answer & Explanation

SchepperJ

Skilled2021-02-12Added 96 answers

Step 1 To solve the given matrices. Step 2 Given that 1)

[\begin{matrix} 4 & 5 \end{matrix}] + [\begin{matrix} 6 & - 4 \end{matrix}]

[\begin{matrix} 4 + 6 & 5 - 4 \end{matrix}]

[\begin{matrix} 10 & 1 \end{matrix}]

∴ [\begin{matrix} 4 & 5 \end{matrix}] + [\begin{matrix} 6 & - 4 \end{matrix}] = [\begin{matrix} 10 & 1 \end{matrix}]

[\begin{matrix} 4 & - 1 \\ 3 & 3 \\ - 5 & - 4 \end{matrix}] - [\begin{matrix} 4 & - 2 \\ 3 & 6 \\ - 5 & - 6 \end{matrix}]

[\begin{matrix} 4 - 4 & - 1 + 2 \\ 3 - 3 & 3 - 6 \\ - 5 + 5 & - 4 + 6 \end{matrix}] = [\begin{matrix} 0 & 1 \\ 0 & - 3 \\ 0 & 2 \end{matrix}]

∴ [\begin{matrix} 4 & - 1 \\ 3 & 3 \\ - 5 & - 4 \end{matrix}] - [\begin{matrix} 4 & - 2 \\ 3 & 6 \\ - 5 & - 6 \end{matrix}] = [\begin{matrix} 0 & 1 \\ 0 & - 3 \\ 0 & 2 \end{matrix}]

[\begin{matrix} 4 & - 1 \\ 6 & - 3 \end{matrix}] + [\begin{matrix} 5 & - 6 \\ 5 & - 5 \end{matrix}] - [\begin{matrix} - 2 & 0 \\ - 2 & - 6 \end{matrix}]

[\begin{matrix} 4 + 5 + 2 & - 1 - 6 - 0 \\ 6 + 5 + 2 & - 3 - 5 + 6 \end{matrix}]

[\begin{matrix} 3 & - 5 \\ 13 & - 2 \end{matrix}]

∴ [\begin{matrix} 4 & - 1 \\ 6 & - 3 \end{matrix}] + [\begin{matrix} 5 & - 6 \\ 5 & - 5 \end{matrix}] - [\begin{matrix} - 2 & 0 \\ - 2 & - 6 \end{matrix}] = [\begin{matrix} 3 & - 5 \\ 13 & - 2 \end{matrix}]

Given that

[\begin{matrix} - 10 & - 4 \\ x & - 1 \end{matrix}] + [\begin{matrix} - 5 & 8 \\ y & - 10 \end{matrix}] = [\begin{matrix} - 15 & x \\ 16 & - 11 \end{matrix}]

[\begin{matrix} - 10 - 5 & - 4 + 8 \\ x + y & - 1 - 10 \end{matrix}] = [\begin{matrix} - 15 & x \\ 16 & - 11 \end{matrix}]

[\begin{matrix} - 15 & 4 \\ x + y & - 11 \end{matrix}] = [\begin{matrix} - 15 & x \\ 16 & - 11 \end{matrix}]

Equating on both sides we have
x=4
x+y=16
Since x=4 then 4+y=16
y=12

∴ x = 4 and y = 12

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Precalculus

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
$[\begin{matrix} 1 & 3 & 0 & - 4 \\ 2 & 6 & 0 & - 8 \end{matrix}]$
Find, correct to the nearest degree, the three angles of the triangle with the given vertices
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)
Whether f is a function from Z to R if
a) $f (n) = \pm n$ .
b) $f (n) = \sqrt{n^{2} + 1}$ .
c) $f (n) = \frac{1}{n^{2} - 4}$ .
?
How to write the expression $6^{\frac{3}{2}}$ in radical form?
How to evaluate $\sin (\frac{- 5 π}{4})$ ?
What is the derivative of $\cot^{2} x$ ?
How to verify the identity: $\frac{\cos (x) - \cos (y)}{\sin (x) + \sin (y)} + \frac{\sin (x) - \sin (y)}{\cos (x) + \cos (y)} = 0$ ?
Find $\tan (22 . 5^{\circ})$ using the half-angle formula.
How to find the exact values of $\cos 22.5 °$ using the half-angle formula?
How to express the complex number in trigonometric form: 5-5i?
The solution set of $\tan θ = 3 \cot θ$ is
How to find the angle between the vector and $x -$ axis?
Find the probability of getting 5 Mondays in the month of february in a leap year.
How to find the inflection points for the given function $f (x) = x^{3} - 3 x^{2} + 6 x$ ?
How do I find the value of sec(3pi/4)?

Didn't find what you were looking for?