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Integrate the function in `sin^(-1) ((2x)/(1+x^2))`.
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`int e^x sec x (1 + tan x) dx` equals:
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if `x^m y^n = (x + y)^(m + n)`, prove that `(d^2y)/(dx^2)= 0`
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Find the differential equation representing the family of curves `y = ae^(bx + 5)`. where a and b are arbitrary constants.
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If A and B are square matrices of the same order such that |A| = 3 and AB = I, then write the value of |B|.
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If A is a square matrix of order 3 with determinant 4, then write the value of |−A|.
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If A is a square matrix such that |A| = 2, write the value of |A AT|.
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If A is a square matrix of order n × n such that \[|A| = \lambda\] , then write the value of |−A|.
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If A and B are square matrices of order 3 such that |A| = − 1, |B| = 3, then find the value of |3 AB|.
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If A and B are square matrices of order 2, then det (A + B) = 0 is possible only when
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If A is a square matrix such that A (adj A) 5I, where I denotes the identity matrix of the same order. Then, find the value of |A|.
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If A is a square matrix of order 3 such that |A| = 5, write the value of |adj A|.
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If A is a square matrix of order 3 such that |adj A| = 64, find |A|.
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If A is a non-singular square matrix such that |A| = 10, find |A−1|.
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If A is a non-singular square matrix such that \[A^{- 1} = \begin{bmatrix}5 & 3 \\ - 2 & - 1\end{bmatrix}\] , then find \[\left( A^T \right)^{- 1} .\]
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If A is a square matrix of order 3 such that |A| = 2, then write the value of adj (adj A).
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If A is a square matrix of order 3 such that |A| = 3, then write the value of adj (adj A).
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If A is a square matrix of order 3 such that adj (2A) = k adj (A), then write the value of k.
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Let A be a 3 × 3 square matrix, such that A (adj A) = 2 I, where I is the identity matrix. Write the value of |adj A|.
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If A is a square matrix such that \[A \left( adj A \right) = \begin{bmatrix}5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5\end{bmatrix}\] , then write the value of |adj A|.
Concept: undefined >> undefined
