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# Eleventh Grade (Grade 11) Matrices Questions

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Evaluate. $[(2,-3), (-4,2)] - [(-1,-5), (-3,2)]$
1. $[(3,2),(-7,4)]$
2. $[(-3,2),(-7,4)]$
3. $[(3,2),(-1,0)]$
4. None of the above
Evaluate. $[(2, -3) , (-4, 2)]$ + $[ (-1, -5), ( 3, -2) ]$
1. $[(-1, -8), (-1, 0)]$
2. $[(1, -8), (-1,0)]$
3. $[(1, -8), (-7, 0)]$
4. None of the above
A square matrix A is NOT invertible (does not have an inverse) if which of the following is true?
1. Matrix A is the identity matrix
2. $A_{1,1} < 0$
3. Matrix A has any elements equal to zero
4. $det(A) = 0$
Evaluate. $[[1,2],[3,4]]+[[1,2],[3,4]]$
1. $[[2,4],[6,8]]$
2. $[[2,8],[6,4]]$
3. $[[8,2],[6,4]]$
What is the rule for matrix addition and subtraction?
1. The number of columns of the first matrix must equal the number of rows of the second matrix.
2. The matrices must have the same dimensions.
3. The matrices must have the same number of rows, but not columns.
4. There is no rule. Matrix addition and subtraction is always possible.
What is the rule for matrix multiplication?
1. The number of columns of the first matrix must equal the number of rows of the second matrix.
2. The matrices must have the same dimensions.
3. The matrices must have the same number of rows, but not columns.
4. There is no rule. Matrix multiplication is always possible.
State the dimensions of matrix $F$ if $F=[[0,1,0],[2,-4,2],[4,-8,4],[8,-16,8]]$ .
1. $16xx8$
2. $2xx2xx3$
3. $4xx3$
4. $3xx4$
Find the product, if possible. $[[2,0],[-3,5],[1,4]]*[[3],[-2]]$
1. $[[6,-19,-5]]$
2. $[[6],[-19],[-5]]$
3. $[[5,-5],[0,3]]$
4. Impossible
Evaluate, if possible. $[[-5,7],[6,8]] - [[4,0,-2],[9,0,1]]$
1. $[[-9,7],[-3,8]]$
2. $[[13,-7],[3,-8]]$
3. $[[-9,7,4],[-3,8,-13]]$
4. Impossible
Evaluate the determinant using diagonals.

$[[-5,-6,7],[4,0,5],[-3,8,2]]$
1. $562$
2. $-80$
3. $26$
4. $-561$
Find the inverse of the matrix, if it exists.

$[[-4,-2],[7,8]]$
1. $"Does Not Exist"$
2. $[[4/9,1/9],[-7/18,-2/9]]$
3. $[[2/9,1/9],[-7/18,-4/19]]$
4. $[[-4/9,-1/9],[7/18,2/9]]$
Find the solution of the following matrix equation $[[1,5],[1,6]][[x],[y]]=[[-4],[-5]]$.
1. $(1,-1)$
2. $(1,1)$
3. $(0,1)$
4. $(-1,-1)$