Matrix - practice problems

Number of problems found: 6

The sum 17
The sum of three numbers is -1. If we multiply the second number by 2, third number by 3 and add them, we get 5. If we subtract the third number from the sum of first and second numbers, we get -1. Answer the following: Represent the above information a
Inverse matrix
Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3]
The determinant
The determinant of the unit matrix equals 7. Check how many rows the A matrix contains.
Cuboids
Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)
Inverse matrix
Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
The inverse
The inverse matrix for matrix A has a determinant value of 0.333. What value has a determinant of matrix A?

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