Topic: matrix-manipulation-problem / Level: intermediate

• 1001. Write a program to rotate a matrix by 90 degrees clockwise.
• 1002. Write a program to rotate a matrix by 180 degrees.
• 1003. Write a program to rotate a matrix by 270 degrees counterclockwise.
• 1004. Write a program to transpose a matrix in-place without using extra space.
• 1005. Write a program to check if a matrix is a magic square.
• 1006. Write a program to find the inverse of a 2x2 matrix.
• 1007. Write a program to find the determinant of a 3x3 matrix.
• 1008. Write a program to calculate the determinant of a matrix using Gaussian elimination.
• 1009. Write a program to perform LU decomposition of a matrix.
• 1010. Write a program to find the rank of a matrix.
• 1011. Write a program to find the eigenvalues of a 2x2 matrix.
• 1012. Write a program to implement matrix multiplication for large matrices.
• 1013. Write a program to check if a matrix is positive definite.
• 1014. Write a program to perform the QR decomposition of a matrix.
• 1015. Write a program to check if a matrix is diagonalizable.
• 1016. Write a program to compute the cofactor matrix of a 3x3 matrix.
• 1017. Write a program to solve a system of linear equations using matrix inversion.
• 1018. Write a program to calculate the determinant of a matrix using the Laplace expansion.
• 1019. Write a program to check if a matrix is orthogonal.
• 1020. Write a program to compute the Hadamard product of two matrices.
• 1021. Write a program to implement matrix exponentiation.
• 1022. Write a program to calculate the matrix product of a diagonal matrix with another matrix.
• 1023. Write a program to perform the singular value decomposition (SVD) of a matrix.
• 1024. Write a program to compute the Frobenius norm of a matrix.
• 1025. Write a program to perform the Gram-Schmidt process for orthogonalizing a set of vectors.
• 1026. Write a program to implement Strassens algorithm for matrix multiplication.
• 1027. Write a program to calculate the trace of a matrix.
• 1028. Write a program to solve a system of linear equations using Gaussian elimination.
• 1029. Write a program to perform Cholesky decomposition of a positive definite matrix.
• 1030. Write a program to compute the Moore-Penrose pseudoinverse of a matrix.
• 1031. Write a program to find the rank of a sparse matrix.
• 1032. Write a program to compute the determinant of a block matrix.
• 1033. Write a program to check if a matrix is idempotent.
• 1034. Write a program to compute the matrix exponential using the Taylor series expansion.
• 1035. Write a program to find the null space of a matrix.
• 1036. Write a program to solve a system of linear equations using LU decomposition.
• 1037. Write a program to check if a matrix is symmetric positive definite.
• 1038. Write a program to compute the Schur decomposition of a matrix.
• 1039. Write a program to implement the Jacobi method for solving a system of linear equations.
• 1040. Write a program to compute the characteristic polynomial of a matrix.
• 1041. Write a program to solve a system of linear equations using the Gauss-Seidel method.
• 1042. Write a program to perform QR decomposition using the Householder transformation.
• 1043. Write a program to check if a matrix is involutory (A^2 = I).
• 1044. Write a program to find the adjugate of a matrix.
• 1045. Write a program to calculate the matrix logarithm.
• 1046. Write a program to calculate the condition number of a matrix.
• 1047. Write a program to perform LU decomposition with partial pivoting.
• 1048. Write a program to find the Jordan canonical form of a matrix.
• 1049. Write a program to check if a matrix is unipotent.
• 1050. Write a program to implement iterative matrix inversion using the Gauss-Seidel method.

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