Find the inverse of\(\begin{pmatrix} 4& 2\\ -3& -2\end{pmatrix}\)
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2021
A binary operation * is defined on the set of real numbers, R, by P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2
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2021
For what value of k is 4x\(^2\) - 12x + k, a perfect square?
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2021
If f(x) = 4x\(^3\) + px\(^2\) + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p
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2021
Ifα andβ are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) +\(\frac{1}{β}\)
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2021
In how many ways can 8 persons be seated on a bench if only three seats are available?
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2021
Using binomial expansion of ( 1 + x)\(^6\) = 1 + 6x + 15x\(^2\) + 20x\(^3\) + 6x\(^5\) + x)\(^6\), find, correct to three decimal places, the value of (1.998))\(^6\)
Given that M =\(\begin{pmatrix} 3 & 2\\ -1 & 4\end{pmatrix}\) and N =\(\begin{pmatrix} 5& 6\\ -2& -3\end{pmatrix}\), calculate (3M - 2N)
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2021
For what range of values of x is x\(^2\) - 2x - 3≤ 0