Adding and Subtracting Matrices
Read this topicExplanations 5
- (Video) Adding Matrices by Math Meeting This video by Math Meeting shows how to add matrices. The biggest thing to note with matrix addition is that the matrices have to have th…
By Stefan Cuevas, Alex Federspiel, Liza Sulkin, Sarah Walker
- Adding Matrices The first rule in adding matrices together is that they must have the same dimensions. This means that the matrices must be the same size. Take a look at what we…
By Hannah Bonville, Alex Federspiel, Liza Sulkin, Sarah Walker, Dave Tan
- Subtracting Matrices The first rule\boxed{\text{first rule}}first rule in subtracting matrices together is that they must have the same dimensions. This means that the matrices…
By Hannah Bonville, Alex Federspiel, Liza Sulkin, Sarah Walker, Anusha Rahman
- Matrix Subtraction: Example Subtracting matrices is actually very similar to adding matrices. Recall that we can only add one matrix to another if they both have the same dimens…
By Christine, Liza Sulkin, Sarah Walker, Anusha Rahman
- Adding and Subtracting Matrices When you add or subtract matrices, there are two basic rules we need to always keep in mind. Rule #1: Same Dimensions In order for two matrices t…
By Anusha Rahman
Problems 54
- Problem #2333
- Compute:
- Problem #7302
- Let mmm and nnn be positive integers, and let AAA, BBB, and CCC be m×nm \times nm×n matrices. Which of the following are true about matrix addition?
- Problem #7304
- Let mmm and nnn be positive integers, and let AAA, BBB, and CCC be m×nm \times nm×n matrices. Which of the following statements about matrix subtraction are true?
- What is [032863586]+[124028453]=?\begin{bmatrix} 0 & 3 & 2 \\ 8 & 6 & 3 \\ 5 & 8 & 6 \end{bmatrix} + \begin{bmatrix} 1 & 2 & 4 \\ 0 & 2 & 8 \\ 4 & 5 & 3 \end{bmatrix} =?085368…
- What is [ \begin{bmatrix} 9 & 3 & 1 \ 6 & 4 & 0 \ 6 & 0 & 10 \end{bmatrix} \begin{bmatrix} 6 & 2 & 4 \ 5 & 9 & 2 \ 2 & 9 & 7 \end{bmatrix} ]
- What is [415543190]+[48301027122123456]=?\begin{bmatrix} 4 & 1 & 5 \\ 5 & 4 & 3 \\ 1 & 9 & 0 \end{bmatrix} + \begin{bmatrix} 4 & 8 & 3 & 0 \\ 10 & 2 & 7 & 1 \\ 2 & 2 & 1 & 2 \\ …
- What is [ \begin{bmatrix} 7 & 0 & 16 \ 7 & 20 & 10 \ 13 & 20 & 10 \end{bmatrix} \begin{bmatrix} 9 & 6 & 6 \ 14 & 8 & 2 \ 14 & 12 & 7 \end{bmatrix} +][+ \begin{bmatrix} 17 & 13 &…
- What is [−x−9865y−6−6−2−3z]+[−8z01−7−5y−1029−3x]=\begin{bmatrix} -x & -9 & 8 \\ 6 & 5y & -6 \\ -6 & -2 & -3z \end{bmatrix} + \begin{bmatrix} -8z & 0 & 1 \\ -7 & -5y & -10 \\ 2 &…
- What is [abcdef]−[axcyez]=\begin{bmatrix} a & b & c \\ d & e & f \end{bmatrix}- \begin{bmatrix} a & x & c \\ y & e & z \end{bmatrix}=[adbecf]−[ayxecz]=
- What is [ \begin{bmatrix} 3 & 3 \ 3 & 3 \end{bmatrix} \begin{bmatrix} 2 & 0 \ 0 & 0 \end{bmatrix}- \begin{bmatrix} 0 & 3 \ 0 & 0 \end{bmatrix}-] −[0030]−[0002]=?- \begin{bmatrix…
- Problem #10036
- Which of the following are true for matrix addition? Select all that apply.
- Can the matrices above be added together?
- Problem #15222
- Problem #15224
- Which of the following represents the sum of the following matrices?
- Select all of the 222-by-222 matrices.
- Evaluate
- Add the following matrices:
- Which of the following correctly shows addition of matrices?
- Which of the following illustrations correctly shows the addition of the first terms in the matrices below?
- Select the transpose of this matrix:
- What is it called when we form a new matrix whose rows are the columns of the original matrix?
- Problem #15314
- Solve
- Which of the matrices will sum together to get the winning numbers above?
- Compute
- Evaluate:
- Which of the following correctly shows subtraction of matrices?
- Solve:
- Consider the matrices AAA, BBB, CCC: Which of the following statements are true? I. B=C+AB=C+AB=C+A II. B−A=CB-A=CB−A=C III. B+A=CB+A=CB+A=C
- Which of the following matrices can be subtracted from the matrix above?
- Which of the following matrix subtractions yield the matrix above?
- Which of the following correctly shows the subtraction of the upper left terms in the matrices below?
- Evaluate:
- Choose the correct representation for subtracting the following matrices.
- Compute:
- Rewrite the following matrix by transposing the rows into columns:
- Consider the matrices: Find 4A−B+2C4A-B+2C4A−B+2C.
- [1234]+[6122]\left[\begin{array}{cc} 1 & 2 \\ 3 & 4 \end{array}\right] + \left[\begin{array}{cc} 6 & 1 \\ 2 & 2 \end{array}\right][1324]+[6212]
- Let and . Find 3B−A3B-A3B−A.
- Let and . Find 5A−B5A-B5A−B.
- Evaluate: [17919−532722141]+[9376400−1384691]\begin{bmatrix} 1&7&9\\ 19&-5&32\\ 72&21&41\\ \end{bmatrix} + \begin{bmatrix} 93&76&4\\ 0&0&-1\\ 38&46&91\\ \end{bmatrix}119727−52…
- Evaluate: [−9−18−27−3−694−8−12]+[−510−156−1218−7−14−21]\begin{bmatrix} -9 & -18 & -27\\ -3 & -6 & 9\\ 4 & -8 & -12\\ \end{bmatrix} + \begin{bmatrix} -5 & 10 & -15\\ 6 & -12 & 18…
- Evaluate: [4−3792−6]−[2−39835]\begin{bmatrix} 4 & -3 & 7\\ 9 & 2 & -6\\ \end{bmatrix} - \begin{bmatrix} 2 & -3 & 9\\ 8 & 3 & 5\\ \end{bmatrix}[49−327−6]−[28−3395]
- Evaluate: [8x6xy49y2xy−2x]−[8x2x9y7y−3xy−2x]\begin{bmatrix} 8x & 6xy & 4\\ 9y & 2xy & -2x\\ \end{bmatrix} - \begin{bmatrix} 8x & 2x & 9y\\ 7y & -3xy & -2x\\ \end{bmatrix}[8x9y6…
- Evaluate: [172361890777]−[7631402123]\begin{bmatrix} 17 & 23 & 6\\ 18 & 9 & 0\\ 7 & 7 & 7\\ \end{bmatrix} - \begin{bmatrix} 7 & 6 & 3\\ 14 & 0 & 2\\ 1 & 2 & 3\\ \end{bmatrix}17…
- Is matrix addition commutative?
- Is matrix addition associative?
- Is matrix subtraction commutative?
- Is matrix subtraction associative?