Answer:
FALSE
Step-by-step explanation:
the correct answer is FALSE
A matrix is said to be orthogonal when it is multiplied by its own transpose then the matrix comes out to be Identity.
the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.
but an orthogonal matrix is not necessarily symmetric so, the statement is false.
The box with the bunk bed will not fit in the mini van
Step-by-step explanation:
Step 1 :
Given
Length of the cuboid = 6 feet
Width of the cuboid = 2 feet
Height of the cuboid = 3 feet
The diagonal of the cuboid is
= 7 feet
Step 2 :
The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet
The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.
Hence the trunk of the mini van cannot hold the bunk bed