Write a function transpose(matrix) that returns the transpose of the input matrix, which is represented as a list of lists. Recall that the transpose of a matrix is obtained by swapping its rows with its columns. More concretely, the equality matrix[i][j] transpose(matrix)[j][i] should hold for all valid indices i and j. You may assume that the input matrix is well-formed, i. e., that each row is of equal length. You may further assume that the input matrix is non-empty. Your function should not modify the input. transpose([[1, 2, 3]]) [[1], [2], [3]] transpose([[1, 2], [3, 4], [5, 6]]) [[1, 3, 5], [2, 4, 6]]

We as humans write math expression in infix notation, e.g. 5 + 2 (the operators are written in-between the operands). in a computer’s language, however, it is preferred to have the operators on the right side of the operands, i.e. 5 2 +. for more complex expressions that include parenthesis and multiple operators, a compiler has to convert the expression into postfix first and then evaluate the resulting postfix.write a program that takes an “infix” expression as input, uses stacks to convert it into postfix expression, and finally evaluates it. it must support the following operations: + - / * ^ % (example infix expression: (7 - 3) / (2 + 2)postfix expression: 7 3 - 2 2 + /result: 1guidelines: 1. you will need to use stacks in three placesa. one for the parenthesis check [char stack]b. one during infix to postfix [char stack]c. one during evaluation [int stack]for a and b above, you can use same array and same push, pop method as both ofthem are char. but for evaluation you have int stack and you might consider to createanother push pop method to handle it. maybe push_int, pop_int, etc. or find otherstrategy to utilize existing push pop method2. you can create a function for obtaining operator priority. that function should take anoperator as input and return its priority as an integer. this function will you a lot andreduce repeated code3. during evaluation you will need to convert char into integer. example for single digit: char c = '5'; int x = c - '0';

Which of the following physical laws can make the flow of water seem more realistic? a. motion b. gravity c. fluid dynamics d. thermodynamics

Write the pseudo code for this problem based on what you learned from the video. the purpose is to design a modular program that asks the user to enter a distance in kilometers, and then converts that distance to miles. the conversion formula is as follows: miles = kilometers x 0.6214