If A=(32​12​40​), what is the order of matrix A?

Given P=(20​−15​) and Q=(3−2​4−3​), find P+Q.

Using matrices P and Q from question 2, calculate 3P−2Q.

If (x+13​5y−2​)=(43​51​), find the values of x and y.

Which of the following matrices is a symmetric matrix? (a) (13​24​) (b) (15​52​) (c) (11​00​)

Find the product: (2​3​)(41​).

Find the product AB if A=(23​12​) and B=(12​45​).

Is the product BA defined for the matrices in question 7? If so, find it.

If M=(42​63​), find the matrix M2.

Given I=(10​01​), find 3I. What is this type of matrix called?

If A=(35​12​) and B=(2−5​−13​), find AB. What can you say about matrix B in relation to A?

Solve for the matrix X: 2X+(1−3​52​)=(7−1​18​).

A store sells pens for Rs. 20 and books for Rs. 150. Person A buys 3 pens and 2 books. Person B buys 5 pens and 1 book. Represent the prices as a column matrix and the quantities as a 2×2 matrix. Find the total spending for each person using matrix multiplication.

If (21​−10​)(xy​)=(52​), find the values of x and y.

For which values of p is the matrix (p1​4p​) singular (i.e., its determinant is zero)?