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Recent questions tagged algebra


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Do I need to know linear algebra for data science?
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Do I need to know linear algebra for data science?Do I need to know linear algebra for data science? ...
by MathsGee Platinum
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asked in Data Science & Statistics Jan 15
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In mathematics/algebra, what is the difference between \(|x|\) and \(||x||\)?
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The system of linear equations has $$ \left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right. $$
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The system of linear equations has $$ \left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right. $$The system of linear equations has $$ \left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right. $$   A) infinitely ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?
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Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?   A) $\operatorname{det}(A)=\operatorname{det}(-A)$ B) $\operatornam ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:
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Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:   A. All the given options a ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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The system of linear equations $$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$
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The system of linear equations $$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$The system of linear equations $$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$ has   A) infinitely many solut ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to
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Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal toLet $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to   A) $\left(B^{T}\right)^{- ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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What is the fundamental theorem of algebra?
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What is the fundamental theorem of algebra?What is the fundamental theorem of algebra? ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Is algebra easier than calculus?
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Is algebra easier than calculus?Is algebra easier than calculus? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Prove that \(x^2+2xy+y^2\) cannot be negative
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Prove that \(x^2+2xy+y^2\) cannot be negativeProve that  \(x^2+2xy+y^2\) cannot be negative ...
by Minenhle
(110 points)
asked in Mathematics Jan 12
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Without using a calculator, determine the value of: \[\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}\]

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Find the value of \(m\) if: \[ \sum_{k=1}^{m} 3(2)^{k-1}=93 \]
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Find the value of \(m\) if: \[ \sum_{k=1}^{m} 3(2)^{k-1}=93 \]Find the value of \(m\) if: \ \sum_{k=1}^{m} 3(2)^{k-1}=93 \ ...
by Pieter SIlver Status
(18,061 points)
asked in Mathematics Jan 11
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What is the value of \(m\) for which: \[ \sum_{k=1}^{m} 5(3)^{k-1}=65 \]
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What is the value of \(m\) for which: \[ \sum_{k=1}^{m} 5(3)^{k-1}=65 \]What is the value of \(m\) for which: \ \sum_{k=1}^{m} 5(3)^{k-1}=65 \ ...
by Pieter SIlver Status
(18,061 points)
asked in Mathematics Jan 11
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Evaluate: \[ \sum_{n=4}^{70}(2 n-4) \]
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Evaluate: \[ \sum_{n=4}^{70}(2 n-4) \]Evaluate: \ \sum_{n=4}^{70}(2 n-4) \ ...
by Pieter SIlver Status
(18,061 points)
asked in Mathematics Jan 11
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compare a and b
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compare a and b compare a and b ordre sur les reels puisances please  help ...
by Jerome
asked in Mathematics Jan 5
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Find the values of \(p\) and \(q\)
1 answer 25 views
Find the values of \(p\) and \(q\)\ \mathrm{f}(x)=x^{3}+6 x^{2}+p x+q \ Given that \(\mathrm{f}(4)=0\) and \(\mathrm{f}(-5)=36\) (a) Find the values of \(p\) and \(q\) (b) Factoris ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Nov 9, 2021
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Expand and Simplify: \((3 x-2)(x-5)^{2}\)
1 answer 20 views
Expand and Simplify: \((3 x-2)(x-5)^{2}\)Expand and Simplify: \((3 x-2)(x-5)^{2}\) ...
by MathsGee Platinum
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asked in Mathematics Nov 9, 2021
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Expand and Simplify: \((2 x-1)(x+2)(x-3)\)
1 answer 17 views
Expand and Simplify: \((2 x-1)(x+2)(x-3)\)Expand and Simplify: \((2 x-1)(x+2)(x-3)\) ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Nov 9, 2021
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Given \(y=2^{x}\) - Express \(4^{x}\) in terms of \(y\).
1 answer 28 views
Given \(y=2^{x}\) - Express \(4^{x}\) in terms of \(y\).Given \(y=2^{x}\) (a) Express \(4^{x}\) in terms of \(y\). (b) Hence, or otherwise, solve \(4^{x}-6\left(2^{x}\right)-16=0\) ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Nov 9, 2021
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Express \(8^{2 x-5}\) in the form \(2^{y}\), giving \(y\) in the form \(a x+b\), where \(a\) and \(b\) are constants.
1 answer 27 views
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Express \(9^{3 x+2}\) in the form \(3^{y}\), giving \(y\) in the form \(a x+b\), where \(a\) and \(b\) are constants.
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Simplify \[ \left(\frac{216 x^{6}}{27 y^{3}}\right)^{-\frac{2}{3}} \]
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Simplify \[ \frac{\left(2 x^{\frac{1}{2}}\right)^{3}}{4 x^{2}} \]
1 answer 30 views
Simplify \[ \frac{\left(2 x^{\frac{1}{2}}\right)^{3}}{4 x^{2}} \]Simplify \ \frac{\left(2 x^{\frac{1}{2}}\right)^{3}}{4 x^{2}} \ ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Nov 9, 2021
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