# Matrix - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 41

- Matrices 2

Suppose A=(1 6 3 −2) B=(4 −3 −4 3) find 2A+3B - Rectangular 9401

Matrix E is a rectangular matrix that contains 48 elements and four rows. How many columns does this matrix have? - Determinant 5531

The determinant of matrix J has the value 0. What will be the value of the determinant of matrix C, which we get as the square of matrix J? - Determinant 5513

How many rows does a square matrix A have if we use Sarruss's rule to calculate its determinant?

- Determinants 5290

The determinant of the product of 2 square matrices has the value 3. What is the product's value of the respective determinants of these matrices? - Matrix 5221

The rank of matrix A is 3. What rank will this matrix have if we add twice the second row to its first row? - Determinant 7506

We have a matrix of order n ≥ 3. If we add the last column to each column (including the last), how does its determinant change? - Determinant 5492

The determinant of matrix C is equal to 12. What will be the value of the determinant of matrix F if we know that matrix F is the opposite matrix of matrix C? - Determine 6112

Find how many columns will contain the inverse matrix to matrix C if matrix C contains nine elements.

- Second-order 5170

What is the rank of a second-order square matrix if we can only say that it is singular? - Second-order 5138

What is the rank of a second-order square matrix if we can say that this matrix is regular? - Rectangular 4867

The rectangular matrix contains 12 elements and three rows. How many columns does this matrix have? - Determinant 4173

The inverse matrix determinant to matrix C has a value of 0.125. Determine how often the determinant of the matrix C is larger than the determinant of the inverse matrix to the matrix C. - The sum 17

The sum of the three numbers is -1. If we multiply the second number by 2, the third number by 3, and add them, we get 5. If we subtract the third number from the sum of the first and second numbers, we get -1. Answer the following: Represent the above

- Determinant 5172

Determine the determinant of a square matrix of type 4x4 if we know that it is zero. - Rectangular 4598

The rectangular matrix contains three rows and four columns. Determine how many elements this matrix contains. - Determinant 4161

The determinant of the inverse matrix to matrix B has a value of 0.25. What is the value of the determinant of matrix B? - Determinant 4597

What number do we get if we multiply the determinant of matrix A by the determinant of its inverse matrix? - Contains 5503

How many orders are a square matrix C if this matrix contains 36 elements?

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