Q131. What is the derivative of the function \(f(x) = 5x^3-2x^2+x-9\) with respect to \(x\)?

Q132. Value of \( \begin{vmatrix} 1 & 3 & 0 \\ 2 & 3 & 0 \\ 5 & 7 & 0 \end{vmatrix} = _{----------}\)

Q133. Find the minor and cofactor respectively for the element -3 in the determinant \( \Delta = \begin{vmatrix} 1 & 2 & 2 \\ -3 & 1 & 2 \\ 3 & 1 & 4 \end{vmatrix} \).

Q134. For matrix \(A\) if \(AA^T = I\), \(I\) is identity matrix then \(A\) is?

Q135. If \(A= \begin{bmatrix} 1 & 3 \\ 2 & 1 \end{bmatrix}\), then \(_{----------}\)

Q136. For \(2 \times 2\) matric \(A\), \(adj(adj \: A) = _{---------------}\).

Q137. Choose the correct answer for the \(I = \int_{-4}^4 (\sin^5 \:x) \: dx\).

Q138. For a skew symmetric even ordered matrix \(A\) of integers, which of the following will not hold true?

Q139. If \(A\) and \(B\) matrices are of same order and \(A + B = B + A\), this law is known as

Q140. The trace of the matrix is defined as \(_{--------------}\).